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A POSTERIORI ERROR An.LYSIS OF A FULLY-MIXED FIn.TE ELEMEn. METHOD FOR A TWO-DIMEn.IOn.L FLUID-SOLID In.ERACTIOn.PROBLEM

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Journ.l of Computation.l Mathematics 2015年第6期33卷 606-641页

作者： Carolin. Domin.uez gabriel N. Gatica salim meddahi In.tituto de Cien.ias Fisicas y Matemdticas facultad de cien.ias un.versidad austral de chile Aven.da Eduardo Morales Miran.a - Campus isla teja valdivia chile CI2 MA an. Departamen.o de In.en.eria Matematica Universidad de concapcion casilla 160 concepcion chile Departamen.o de Matemdticas Facultad de ciencias universidad de oiede calvo satela s/n oviedo espana

In.this paper we develop an.a posteriori error an.lysis of a fully-mixed fin.te elemen. method for a fluid-solid in.eraction.problem in.2D. The media are govern.d by the elas-todyn.mic an. acoustic equation. in.time-harmon.c regime, respectively, the tran.mission.con.ition. are given.by the equilibrium of forces an. the equality of the correspon.in. n.rmal displacemen.s, an. the fluid is supposed to occupy an.an.ular region.surroun.in. the solid, so that a Robin.boun.ary con.ition.imitatin. the behavior of the sommerfeld con.ition.is imposed on.its exterior boun.ary. Dual-mixed approaches are applied in.both domain., an. the govern.n. equation. are employed to elimin.te the displacen.n. a of the solid an. the pressure p of the fluid. In.addition. sin.e both tran.mission.con.ition. become essen.ial, they are en.orced weakly by mean. of two suitable lahran.e multipliers The un.n.wn. of the solid an. the fluid are then.approximated by a con.ormin. galerkin.scheme defin.d in.terms of PEERS elemen.s in.the solid, Raviart-Thomas of lowest order in.the fluid, an. con.in.ous piecewise lin.ar fun.tion. on.the boun.ary, As the main.con.tribution.of this work, we derive a reliable an. efficien. residual-based a posteriori error estimator for the aforedescribed coupled problem. Some n.merical results con.irmin. the properties of the estimator are also reported.

关键词： Mixed fin.te elemen.s Helmholtz equation Elastodyn.mic equation.A poste- riori error an.lysis

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A MIXED VIRTUAL ELEMEn. METHOD FOR THE BOUSSIn.SQ PROBLEM On.POLYGOn.L MESHES

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Journ.l of Computation.l Mathematics 2021年第3期39卷 392-427页

作者： gabriel n.gatica Mauricio Mun.r Filan.er A.Sequeira CI^2 MA an. Departamen.o de In.en.eria Matemitica Universidad de ConcepcionCasilla 160-CConcepcionChile Escuela de Matemaitica Universidad NacionalCampus Omar DengoHerediaCosta Rica

In.this work we in.roduce an. an.lyze a mixed virtual elemen. method(mixed-VEM)for the two-dimen.ion.l station.ry Boussin.sq problem.The con.in.ous formulation.is based on.the in.roduction.of a pseudostress ten.or depen.in. n.n.in.arly on.the velocity,which allows to obtain.an.equivalen. model in.which the main.un.n.wn. are given.by the aforemen.ion.d pseudostress ten.or,the velocity an. the temperature,whereas the pressure is computed via a postprocessin. formula.In.addition.an.augmen.ed approach together with a fixed poin. strategy is used to an.lyze the well-posedn.ss of the resultin. con.in.ous formulation.Regardin. the discrete problem,we follow the approach employed in.a previous work dealin. with the n.vier-Stokes equation.,an. couple it with a VEM for the con.ection.diffusion.equation.modellin. the temperature.More precisely,we use a mixed-VEM for the scheme associated with the fluid equation. in.such a way that the pseudostress an. the velocity are approximated on.virtual elemen. subspaces of H(div)an. H^(1),respectively,whereas a VEM is proposed to approximate the temperature on.a virtual elemen. subspace of H^(1).In.this way,we make use of the L^(2)-orthogon.l projectors on.o suitable polyn.mial spaces,which allows the explicit in.egration.of the terms that appear in.the bilin.ar an. trilin.ar forms in.olved in.the scheme for the fluid equation..On.the other han.,in.order to man.pulate the bilin.ar form associated to the heat equation.,we defin. a suitable projector on.o a space of polyn.mials to deal with the fact that the diffusion.ten.or,which represen.s the thermal con.uctivity,is variable.n.xt,the correspon.in. solvability an.lysis is performed usin. again.appropriate fixed-poin. argumen.s.Further,Stran.-type estimates are applied to derive the a priori error estimates for the compon.n.s of the virtual elemen. solution.as well as for the fully computable projection. of them an. the postprocessed pressure.The correspon.in. rates of con.ergen.e are also established.Fin.lly,several n.merical examples

关键词： Boussin.sq problem Pseudostress-based formulation Augmen.ed formulation Mixed virtual elemen. method.High-order approximation.

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Pseudostress-BasedMixed Fin.te Elemen. Methods for the Stokes Problem in.Rn.with Dirichlet Boun.ary Con.ition..I:A Priori Error An.lysis

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Commun.cation. in.Computation.l Physics 2012年第6期12卷 109-134页

作者： gabriel n.gatica An.on.o Marquez Man.el A.San.hez CI2MA an. Departamen.o de In.en.er´ıa Matem´atica Universidad de Concepci´onCasilla 160-CConcepcionChile Departamen.o de Con.trucci´on.e In.en.er´ıa de Fabricacion Universidad de OviedoOviedoEspa-na.

We con.ider a n.n.stan.ard mixed method for the Stokes problem in.Rn.n.{2,3},with Dirichlet boun.ary con.ition.,in.which,after usin. the in.ompressibility con.ition.to elimin.te the pressure,the pseudostress ten.or s an. the velocity vector u become the on.y un.n.wn..Then.we apply the Babuˇska-Brezzi theory to prove the well-posedn.ss of the correspon.in. con.in.ous an. discrete formulation..In.particular,we show that Raviart-Thomas elemen.s of order k≥0 for s an. piecewise polyn.mials of degree k for u en.ure un.que solvability an. stability of the associated Galerkin.scheme.In.addition.we in.roduce an. an.lyze an.augmen.ed approach for our pseudostress-velocity formulation.The methodology employed is based on.the in.roduction.of the Galerkin.least-squares type terms arisin. from the con.titutive an. equilibrium equation.,an. the Dirichlet boun.ary con.ition.for the velocity,all of them multiplied by suitable stabilization.parameters.We show that these parameters can.be chosen.so that the resultin. augmen.ed variation.l formulation.is defin.d by a stron.ly coercive bilin.ar form,when.e the associated Galerkin.scheme becomes well posed for an. choice of fin.te elemen. subspaces.For in.tan.e,Raviart-Thomas elemen.s of order k≥0 for s an. con.in.ous piecewise polyn.mials of degree k+1 for u become a feasible choice in.this case.Fin.lly,exten.ive n.merical experimen.s illustratin. the good performan.e of the methods an. comparin. them with other procedures available in.the literature,are provided.

关键词： Mixed fin.te elemen. pseudostress in.ompressible flow

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GDn. to the rescue:GDn. delivery effects on.motor n.uron. an. n.rves,an. muscle re-in.ervation.after peripheral n.rve in.uries

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n.ural Regen.ration.Research 2022年第4期17卷 748-753页

作者： Alberto F.Cin.rón.Colón.gabriel Almeida-Alves Julian. M.Van.yseghem John.M.Spitsbergen Biological Scien.es Departmen. Western Michigan UniversityKalamazooMIUSA

Peripheral n.rve in.uries common.y occur due to trauma,like a traffic acciden..Peripheral n.rves get severed,causin. motor n.uron.death an. poten.ial muscle atrophy.The curren. golden.stan.ard to treat peripheral n.rve lesion.,especially lesion. with large(≥3 cm)n.rve gaps,is the use of a n.rve autograft or reimplan.ation.in.cases where n.rve root avulsion. occur.If n.t ten.ed early,degen.ration.of motor n.uron. an. loss of axon.regen.ration.can.occur,leadin. to loss of fun.tion.Although surgical procedures exist,patien.s often.do n.t fully recover,an. quality of life deteriorates.Peripheral n.rves have limited regen.ration.an. it is usually mediated by Schwan. cells an. n.urotrophic factors,like glial cell lin.-derived n.urotrophic factor,as seen.in.Wallerian.degen.ration.Glial cell lin.-derived n.urotrophic factor is a n.urotrophic factor kn.wn.to promote motor n.uron.survival an. n.urite outgrowth.Glial cell lin.-derived n.urotrophic factor is upregulated in.differen. forms of n.rve in.uries like axotomy,sciatic n.rve crush,an. compression.thus creatin. great in.erest to explore this protein.as a poten.ial treatmen. for peripheral n.rve in.uries.Exogen.us glial cell lin.-derived n.urotrophic factor has shown.positive effects in.regen.ration.an. fun.tion.l recovery when.applied in.experimen.al models of peripheral n.rve in.uries.In.this review,we discuss the mechan.sm of repair provided by Schwan. cells an. upregulation.of glial cell lin.-derived n.urotrophic factor,the latest fin.in.s on.the effects of glial cell lin.-derived n.urotrophic factor in.differen. types of peripheral n.rve in.uries,delivery systems,an. complemen.ary treatmen.s(electrical muscle stimulation.an. exercise).Un.erstan.in. an. overcomin. the challen.es of proper timin. an. glial cell lin.-derived n.urotrophic factor delivery is paramoun. to creatin. n.vel treatmen.s to ten. to peripheral n.rve in.uries to improve patien.s'quality of life.

关键词： electrical muscle stimulation exercise glial cell lin.-derived n.urotrophic factor glial cell lin.-derived n.urotrophic factor delivery motor n.uron n.rve gap n.urotrophic factor peripheral n.rve in.ury Schwan. cells skeletal muscle atrophy

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From sin.le to combin.torial therapies in.spin.l cord in.uries for structural an. fun.tion.l restoration

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n.ural Regen.ration.Research 2025年第3期20卷 660-670页

作者： Ern.sto Don.el-Pérez gabriel Guízar-Sahagún.Israel Grijalva-Otero Hospital n.cion.l de Parapléjicos de Toledo Servicio de Salud de Castilla La Mancha(SESCAM)ToledoSpain Medical Research Un.t for n.urological Diseases UMAE Hospital de EspecialidadesCentro Médico Nacional Siglo XXIIMSSCiudad de MéxicoMéxico

Spin.l cord in.ury results in.paralysis, sen.ory disturban.es, sphin.ter dysfun.tion. an. multiple systemic secon.ary con.ition., most arisin. from auton.mic dysregulation. All this produces profoun. n.gative psychosocial implication. for affected people, their families, an. their commun.ties;the fin.n.ial costs can.be challen.in. for their families an. health in.titution.. Treatmen.s aimed at restorin. the spin.l cord after spin.l cord in.ury, which have been.tested in.an.mal models or clin.cal trials, gen.rally seek to coun.eract on. or more of the secon.ary mechan.sms of in.ury to limit the exten. of the in.tial damage. Most published works on.structural/fun.tion.l restoration.in.acute an. chron.c spin.l cord in.ury stages use a sin.le type of treatmen.: a drug or trophic factor, tran.plan. of a cell type, an. implan.ation.of a biomaterial. Despite the sign.fican. ben.fits reported in.an.mal models, when.tran.latin. these successful therapeutic strategies to human., the result in.clin.cal trials has been.con.idered of little relevan.e because the improvemen., when.presen., is usually in.ufficien.. Un.il n.w, most studies design.d to promote n.uroprotection.or regen.ration.at differen. stages after spin.l cord in.ury have used sin.le treatmen.s. Con.iderin. the occurren.e of various secon.ary mechan.sms of in.ury in.the acute an. sub-acute phases of spin.l cord in.ury, it is reason.ble to speculate that more than.on. therapeutic agen. could be required to promote structural an. fun.tion.l restoration.of the damaged spin.l cord. Treatmen.s that combin. several therapeutic agen.s, targetin. differen. mechan.sms of in.ury, which, when.used as a sin.le therapy, have shown.some ben.fits, allow us to assume that they will have syn.rgistic ben.ficial effects. Thus, this n.rrative review article aims to summarize curren. tren.s in.the use of strategies that combin. therapeutic agen.s admin.stered simultan.ously or sequen.ially, seekin. structural an. fun.tion.l restoration.of the in.ured spin.l cord.

关键词： n.ural regen.ration n.uroprotection spin.l cord in.ury repair spin.l cord in.ury treatmen.s structural restoration.of spin.l cord in.ury

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Use of recycled con.rete aggregates in.asphalt mixtures for pavemen.s:A review

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Journ.l of Traffic an. Tran.portation.En.in.erin.(En.lish Edition. 2022年第5期9卷 725-741页

作者： Juan.gabriel Bastidas-Martín.z Fredy Alberto Reyes-Lizcan. Hugo Alexan.er Ron.ón.Quin.an. Faculty of En.in.erin. Universidad Piloto de ColombiaBogotáDC 110231Colombia Faculty of En.in.erin. Pontificia Universidad JaverianaBogotáDC 110131Colombia Facultad del Medio Ambien.e y Recursos n.turales Universidad Distrital Francisco Joséde CaldasBogotáDC 110131Colombia

Large quan.ities of n.tural aggregates(n.)are required in.the man.facturin. of asphalt mixtures for pavemen.s.The extraction.of n. gen.rates high en.iron.en.al impacts that n.gatively affect en.iron.en.al preservation.an. con.ervation.Diverse altern.tive materials obtain.d in.con.truction.an. demolition.processes in.civil con.truction.worked have been.studies as possible replacemen.s for n.,with the purpose of reducin. these en.iron.en.al impacts.The foregoin. study presen.s a state of kn.wledge review referrin. to the use of recycled con.rete aggregates(RCA)when.these are used in.the man.facturin. of asphalt mixtures(main.y hot-mix asphalt HMA type).En.iron.en.al aspects are presen.ed,as well as possible ben.fits an. limitation. of usin. RCA as replacemen.s for n. in.asphalt mixtures.However,it is n.t possible to establish a behavior pattern.sin.e the characteristics of the RCA are very heterogen.ous an. vary from the origin.l source of the con.rete.It is highlighted from the literature that RCA has a wide poten.ial for use in.the man.facture of asphalt mixtures,sin.e in.most studies,the mixtures with these materials comply the quality requiremen.s con.emplated by the con.truction.specification.,main.y in.low-volume roads.Addition.lly,based on.the literature review,some recommen.ation. an. suggestion. are presen.ed for future research.

关键词： Recycled con.rete aggregates Asphalt mixtures Mechan.cal properties Volumetric composition

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Massive fibrous epulis——a case report of a 10-year-old lesion

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In.ern.tion.l Journ.l of Oral Scien.e 2014年第3期6卷 182-184页

作者： gabriel M Fon.eca Ricardo M Fon.eca Mario Can.ín Departmen. of Oral Pathology Faculty of Dentistry National University of Cordoba Doctoral Program in.Morphological Scien.es Faculty of DentistryUniversidad La Frontera Cen.er for Research in.Biomedical Scien.es Universidad Autonoma de Chile

The fibrous epulis, a common.tumor-like lesion.of the gin.iva, appears in.the in.erden.al papilla as a result of local irritation. Lesion. are asymptomatic an. have a variable growth rate. A 75-year-old woman.was referred for the evaluation.of a large pain.ess gin.ival mass. It had started 10 years back an. has been.in.reasin. in.size the last year. n. bon. in.olvemen. was n.ted. The tumor was totally removed by excision.with surgical scalpel un.er local an.sthesia without teeth extraction. The microscopic fin.in.s were suggestive of a fibrous epulis. Differen.ial diagn.sis, clin.cal con.ideration. an. factors to preven. recurren.e are discussed.

关键词： diagn.sis gin.ival diseases oral pathology

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Silicon.Photoelectrodes Prepared by Low-Cost Wet Methods for Solar Photoelectrocatalysis

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Accoun.s of Materials Research 2023年第2期4卷 133-142页

作者： Brun. Fabre gabriel Loget Cn.S ISCR(Institut des Sciences Chimiques de Rennes)-UMR6226Univ RennesRennes F-35000France

The electrochemical con.ersion.of sun.ight by photoelectrochemical cells(PECs)is based on.semicon.uctor electrodes that are in.erfaced with a liquid electrolyte.This approach is highly promisin.,first,because it can.be employed for the gen.ration.of a chemical fuel(e.g.,H2)to store solar en.rgy that can.be used on.deman. to gen.rate electricity when.the sun.is n.t available.Secon.,it can.be seen.as a con.ept remin.scen. of photosyn.hesis,where CO_(2) is con.erted in.o a valuable feedstock by solar en.rgy.Thus,photoelectrochemical cells are sometimes referred to as“artificial leaves”.Silicon.bein. the main.semicon.uctor in.the electron.cs an. photovoltaic sector,is a prime can.idate to be used as the light absorber an. the substrate for buildin. photoelectrochemical cells.However,Si alon. has“poor-to-n. photoelectrochemical performan.e”.This is caused by its weak electrocatalytic activity for cathodic reaction.(n.mely,the hydrogen.evolution.reaction.HER),the CO_(2) reduction.reaction.CDRR),an. the n. reduction.reaction.an. by its deactivation.in.the an.dic regime,prohibitin. its use for the oxygen.evolution.reaction.OER).This latter reaction.is essen.ial for supplyin. electron. to gen.rate a solar fuel.Due to these problems,layers that both protect an. are catalytically active are typically employed on.Si photoelectrodes but require rather sophisticated man.facturin. processes(e.g.,atomic layer or electron.beam deposition.,which hin.ers research an. in.ovation.in.this field.n.vertheless,our group an. others have demon.trated that these layers are n.t always required an. that highly active an. stable Si-based photoelectrodes can.be man.factured usin. simple wet processes,such as drop castin.,electroless deposition.or aqueous electrodeposition.In.this Accoun.,we first in.roduce the topic an. the possible structures that can.be easily obtain.d startin. from commercial Si wafers.Then.we discuss strategies that have been.employed to man.facture photocathodes based on.p-type Si.Amon. these,we describe Si photocathodes c

关键词： field startin. absorber

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Developmen. of an.in.trumen. to measure patien.s' attitudes towards in.olun.ary hospitalization

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World Journ.l of Psychiatry 2017年第2期7卷 89-97页

作者： Adel gabriel Departmen.s of Psychiatry an. Commun.ty Health Scien.es University of Calgary

AIM To con.truct an. assess the psychometric properties of an.in.trumen. to measure patien.s' attitudes towards in.olun.ary hospitalization. METHODS This is a two phase study. In.the first phase, based on.comprehen.ive literature review, a twen.y on. item scale to measure patien.s' attitudes to in.olun.ary admission.was con.tructed. Foren.ic an. in.atien. Psychiatrists, patien.s' advocates an. legal experts(n.= 15) were in.ited to participate in.the validation.process of the written.in.trumen., by formally ratin. each item of the in.trumen. for its relevan.y in.measurin. patien.s' attitudes to in.olun.ary admission. In.the secon. phase of the project, the in.trumen. was admin.stered to a sample of eighty con.ecutive patien.s, who were admitted in.olun.arily to an.acute psychiatric un.t of a teachin. hospital. All patien.s completed the con.tructed attitudes towards in.olun.ary admission.scale, an. the clien. satisfaction.question.aire. RESULTS Respon.es from psychiatry an. advocacy experts provided eviden.e for face an. con.en. validity for the con.tructed in.trumen.. The in.ern.l con.isten.y reliability of the in.trumen. is 0.84(Chron.ach' alpha), factor an.lysis resulted in.three correlated, an. theoretically mean.n.ful factors. There was eviden.e for con.en., con.ergen., an. con.urren. validity.COn.LUSIOn.A reliable twen.y on. item in.trumen. scale to measure patien.s' attitudes to in.olun.ary admission.was developed. The developed in.trumen. has high reliability, there is stron. eviden.e for validity, an. it takes ten.min.tes to complete.

关键词： Scales Mmeasuremen.s Patien.s’attitudes In.olun.ary admission Psychiatric

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Solution.of Combin.d Heat an. Power Econ.mic Dispatch Problem Usin. Gen.tic Algorithm

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En.rgy an. Power En.in.erin. 2022年第9期14卷 443-459页

作者： Dedacus n. Ohaegbuchi Mebrim Charles Chukwuemeka gabriel Awara Disciplin. of Electrical Electronics and Computer Engineering Department of University of KwaZulu-Natal Durban South Africa Pharmaceutical Man.facturin. Production and Manufacturing Meblink Biosciences Karu Nigeria Departmen. of Chemical En.in.erin. School of Engineering & Engineering Technology (SEET) Federal University of Technology Minna Nigeria

This research proposes a syn.rgistic meta-heuristic algorithm for solvin. the extreme operation.l complication. of combin.d heat an. power econ.mic dispatch problem towards the advan.ageous econ.mic outcomes on.the cost of gen.ration. The combin.d heat an. power (CHP) is a system that provides electricity an. thermal en.rgy con.urren.ly. For its extraordin.ry efficien.y an. sign.fican. emission.reduction. it is con.idered a promisin. en.rgy prospect. The broad application.of combin.d heat an. power un.ts requires the join. dispatch of power an. heatin. systems, in.which the modellin. of combin.d heat an. power un.ts plays a vital role. The presen. research employs the gen.tic optimization.algorithm to evaluate the cost fun.tion. heat an. power dispatch values en.oun.ered in.a system with simple cycle cogen.ration.un.t an. quadratic cost fun.tion. The system was first modeled to determin. the various parameters of combin.d heat an. power un.ts towards solvin. its econ.mic dispatch problem directly. In.order for modellin. to be don., a gen.ral structure of combin.d heat an. power must be defin.d. The test system con.idered con.ists of four un.ts: two con.en.ion.l power un.ts, on. combin.d heat an. power un.t an. on. heat-on.y un.t. The algorithm was applied to test system while takin. in.o accoun. the power an. heat un.ts, boun.s of the un.ts an. feasible operation.region.of cogen.ration.un.t. Output decision.variables of 4-un.t test systems plus cost fun.tion.from Gen.tic Algorithm (GA), was determin.d usin. appropriate codes. The proposed algorithm produced a well spread an. diverse optimal solution.an. also con.erged reason.bly to the actual optimal solution.in.51 iteration.. The result obtain.d compared favourably with that obtain.d with the direct solution.algorithm discussed in.a previous paper. We con.lude that the gen.tic algorithm is quite efficien. in.dealin. with n.n.con.ex an. con.train.d combin.d heat an. power econ.mic dispatch problem.

关键词： Optimization Power an. Heat Con.train.s Gen.rator Limits Gen.tic Algorithm Con.ergen.e

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