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AFast Solver for an H_(1) Regularized PDE-Constrained Optimization Problem

Communications in Computational Physics 2016年第1期19卷 143-167页

作者： Andrew T.Barker Tyrone Rees martin stoll Center for Applied Scientific Computing Lawrence Livermore National LaboratoryMail Stop L-561LivermoreCA 94551USA Numerical Analysis Group Scientific Computing DepartmentRutherford Appleton LaboratoryChiltonDidcotOxfordshireOX110QXUnited Kingdom Computational Methods in Systems and Control Theory Max Planck Institute for Dynamics of Complex Technical SystemsSandtorstr.139106MagdeburgGermany

In this paperwe consider PDE-constrained optimization problemswhich incorporate an H_(1)regularization control *** focus on a time-dependent PDE,and consider both distributed and boundary *** problems we consider include bound constraints on the state,and we use a Moreau-Yosida penalty function to handle *** propose Krylov solvers and Schur complement preconditioning strategies for the different problems and illustrate their performance with numerical examples.

关键词： Preconditioning Krylov methods PDE-constrained optimization optimal control of PDEs

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Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors

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Communications in Computational Physics 2023年第6期33卷 1-17页

作者： Kai Bergermann Carsten Deibel Roland Herzog Roderick C.I.MacKenzie Jan-Frederik Pietschmann martin stoll Technische Universitat Chemnitz Faculty of Mathematics09107 ChemnitzGermany Technische Universitat Chemnitz Department of Physics09126 ChemnitzGermany Interdisciplinary Center for Scientific Computing Heidelberg University69120 HeidelbergGermany Durham University Department of EngineeringDurhamUK

The Cahn–Hilliard equations are a versatile model for describing the evolution of complex *** this paper we present a computational pipeline for the numerical solution of a ternary phase-field model for describing the nanomorphology of donor–acceptor semiconductor blends used in organic photovoltaic *** model consists of two coupled fourth-order partial differential equations that are discretized using a finite element *** order to solve the resulting large-scale linear systems efficiently,we propose a preconditioning strategy that is based on efficient approximations of the Schur-complement of a saddle point *** show that this approach performs robustly with respect to variations in the discretization ***,we outline that the computed morphologies can be used for the computation of charge generation,recombination,and transport in organic solar cells.

关键词： Preconditioning phase-field models organic solar cells Cahn-Hilliard finite element analysis

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Caspase-8 promotes scramblase-mediated phosphatidylserine exposure and fusion of osteoclast precursors

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Bone Research 2024年第3期12卷 611-620页

作者： Brenda Krishnacoumar martin Stenzel Hilal Garibagaoglu Yasunori Omata Rachel L.Sworn Thea Hofmann Natacha Ipseiz Magdalena A.Czubala Ulrike Steffen Antonio Maccataio Cornelia stoll Christina Böhm martin Herrmann Stefan Uderhardt Robert H.Jenkins Philip R.Taylor Anika Grüneboom Mario M.Zaiss Georg Schett Gerhard Krönke Carina Scholtysek Department of Internal Medicine 3-Rheumatology and Immunology Friedrich-Alexander University Erlangen-Nürnberg(FAU)and Universitätsklinikum Erlangen91054 ErlangenGermany Deutsches Zentrum für Immuntherapie(DZI) Friedrich-Alexander University Erlangen-Nürnberg(FAU)and Universitätsklinikum Erlangen91054 ErlangenGermany Department of Biopsectroscopy Leibniz Institut für Analytische Wissenschaften-ISAS-e.V.Bunsen-Kirchhoff-Str.11Dortmund 44227Germany Medical Faculty University HospitalUniversity Duisburg-EssenEssen 45147Germany Systems Immunity Research Institute Heath ParkCardiff UniversityCardiff CF144XNUK Optical Imaging Competence Centre(FAU OICE) Exploratory Research UnitFriedrich-Alexander University Erlangen-Nürnberg(FAU)ErlangenGermany Division of Infection&Immunity Heath ParkCardiff UniversityCardiff CF144XNUK Deutsches Rheuma-Forschungszentrum Berlin BerlinGermany Department of Rheumatology and Clinical Immunology Charité-Universitätsmedizin BerlinBerlinGermany

Efficient cellular fusion of mononuclear precursors is the prerequisite for the generation of fully functional multinucleated bone-resorbing ***,the exact molecular factors and mechanisms controlling osteoclast fusion remain incompletely *** we identify RANKL-mediated activation of caspase-8 as early key event during osteoclast fusion.

关键词： incomplete exact activation

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