Results 11 to 20 of about 17,957,678 (238)
DOLFIN: Automated Finite Element Computing [PDF]
, 2009 We describe here a library aimed at automating the solution of partial differential equations using the finite element method. By employing novel techniques for automated code generation, the library combines a high level of expressiveness with efficient
Wells, G.N. +4 more
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A residual based A POSTERIORI error estimator for an augmented mixed finite element method in linear elasticity [PDF]
, 2005 In this paper we develop a residual based a posteriori error analysis for an augmented mixed finite element method applied to the problem of linear elasticity in the plane. More precisely, we derive a reliable and efficient a posteriori error estimator
Heuer, N +18 more
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Conforming finite element methods for the clamped plate problem [PDF]
, 1975 Finite element methods for solving biharmonic boundary value problems are considered. The particular problem discussed is that of a clamped thin plate. This problem is reformulated in a weak, form in the Sobolev space Techniques for setting up conforming
Whiteman, J R
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A two-level enriched finite element method for a mixed problem [PDF]
, 2011 The simplest pair of spaces is made inf-sup stable for the mixed form of the Darcy equation. The key ingredient is to enhance the finite element spaces inside a Petrov-Galerkin framework with functions satisfying element-wise local Darcy problems with ...
Barrenechea, Gabriel +3 more
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A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling [PDF]
, 2008 18.02.14 KB. Ok to add accepted version to spiral, Elsevier says ok while mandate not enforced.We introduce a mixed discontinuous/continuous finite element pair for ocean modelling, with continuous quadratic layer thickness and discontinuous velocity. We
Cotter, CJ +5 more
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Journal of Applied Mathematics, 2012 The nonconforming mixed finite element methods (NMFEMs) are introduced and analyzed for the numerical discretization of a nonlinear, fully coupled stationary incompressible magnetohydrodynamics (MHD) problem in 3D.
Dongyang Shi, Zhiyun Yu
doaj +1 more source
Selecciones Matemáticas, 2023 We revisit the celebrated Kohn-Vogelius penalty method and discuss how to use it for the unique continuation problem where data is given in the bulk of the domain.
Erik Burman
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Discrete Dynamics in Nature and Society, 2020 In this paper, we introduce and analyze H(div)-conforming finite element methods for a nonlinear model in poroelasticity. More precisely, the flow variables are discretized by H(div)-conforming mixed finite elements, while the elastic displacement is ...
Yuping Zeng, Zhifeng Weng, Fen Liang
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Advanced Numerical Methods for Graphene Simulation with Equivalent Boundary Conditions: A Review
Photonics, 2023 Since the discovery of graphene, due to its excellent optical, thermal, mechanical and electrical properties, it has a broad application prospect in energy, materials, biomedicine, electromagnetism and other fields.
Yansheng Gong, Na Liu
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Local Projection-Based Stabilized Mixed Finite Element Methods for Kirchhoff Plate Bending Problems
Abstract and Applied Analysis, 2013 Based on stress-deflection variational formulation, we propose a family of local projection-based stabilized mixed finite element methods for Kirchhoff plate bending problems.
Xuehai Huang
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