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V-cycle multigrid.methods for Wilson nonconforming element

Science China Mathematics 2000年第7期43卷 673-684页

作者：石钟慈许学军 Institute of Computational Mathematics Chinese Academy of Sciences Beijing 100080 China Correspondence should be addressed to Shi Zhongci

Here two types of optimal V-cycle multigrid.algorithms are presented for Wilson nonconforming finite element.

关键词： Wilson element numerical integrations V-cycle multigrid.

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multigrid.Method for the Chan-Vese Model in Variational Segmentation

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Communications in Computational Physics 2008年第7期4卷 294-316页

作者： Noor Badshah Ke Chen Department of Mathematical Sciences University of LiverpoolLiverpool L693BXUK.

The Chan-Vese method of active contours without edges[11]has been used successfully for segmentation of *** a variational formulation,it involves the solution of a fully nonlinear partial differential equation which is usually solved by using time marching methods with semi-implicit schemes for a parabolic equation;the recent method of additive operator splitting[19,36]provides an effective acceleration of such schemes for images of moderate *** to process images of large size,urgent need exists in developing fast multilevel *** we present a multigrid.method to solve the Chan-Vese nonlinear elliptic partial differential equation,and demonstrate the fast *** also analyze the smoothing rates of the associated *** on our numerical tests,a surprising observation is that our multigrid.method is more likely to converge to the global minimizer of the particular non-convex problem than previously unilevel methods which may get stuck at local *** examples are given to show the expected gain in CPU time and the added advantage of global solutions.

关键词： Active contours energy minimization partial differential equations segmentation level sets total variation multigrid.

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A Second Order Finite-Difference Ghost-Point Method for Elasticity Problems on Unbounded Domains with Applications to Volcanology

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Communications in Computational Physics 2014年第9期16卷 983-1009页

作者： Armando Coco Gilda Currenti Ciro Del Negro Giovanni Russo Dipartimento di Scienze della Terra e Geoambientali Universita di Bari Aldo MoroBariItaly. Bristol University Queens RoadBristol BS81RJUnited Kingdom. Istituto Nazionale di Geofisica e Vulcanologia Italy. Dipartimento di Matematica e Informatica Universita di CataniaCataniaItaly

We propose a finite-difference ghost-point approach for the numerical solution of Cauchy-Navier equations in linear elasticity problems on arbitrary unbounded *** technique is based on a smooth coordinate transformation,which maps an unbounded domain into a unit *** geometries are defined by suitable level-set *** equations are discretized by classical nine-point stencil on interior points,while boundary conditions and high order reconstructions are used to define the field variables at ghost-points,which are grid nodes external to the domain with a neighbor inside the *** linear system arising from such discretization is solved by a multigrid.*** approach is then applied to solve elasticity problems in volcanology for computing the displacement caused by pressure *** method is suitable to treat problems in which the geometry of the source often changes(explore the effects of different scenarios,or solve inverse problems in which the geometry itself is part of the unknown),since it does not require complex re-meshing when the geometry is *** numerical tests are successfully performed,which asses the effectiveness of the present approach.

关键词： Linear elasticity Cauchy-Navier equations ground deformation unbounded domain coordinate transformation method Cartesian grid ghost points level-set methods multigrid.

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Strong Coupled Agglomeration multigrid.for Navier-Stokes Equations on Unstructured Grids

Strong Coupled Agglomeration Multigrid for Navier-Stokes Equ...

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2012年计算机应用与系统建模国际会议

作者： Zongzhe Li Zhenghua Wang Wei Cao Lu Yao School of Computer Science National University of Defence Technology

This paper focused on a series of agglomeration multigrid.techniques for the numerical solution of the 2D/3D Reynolds Averaged Navier-Stokes equations on cell-centered unstructured grids, which conform with FVM discretization scheme. We explore a new agglomeration strategy to automated generate coarse grids for multigrid.methods, which can conduct to 2D/3D unstructured/hybrid grids. The algorithm based on face weighting, fuse the strongest coupled neigh-bor face to form a new cell in coarsen grid once at a time. The numerical results which conduct on NACA0012 airfoil indicate that nearly optimal computational complexity, this method also shows better complexity than the listed method owing to the better quality of the coarse grid.

关键词： Strong coupled agglomeration Unstructured grids Cell-centered multigrid.

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