Results 1 to 10 of about 28,597 (266)
An Element-Based Preconditioner for Mixed Finite Element Problems [PDF]
SIAM Journal on Scientific Computing, 2021 We introduce a new and generic approximation to Schur complements arising from inf-sup stable mixed finite element discretizations of self-adjoint multiphysics problems. The approximation exploits the discretization mesh by forming local, or element, Schur complements of an appropriate system and projecting them back to the global degrees of freedom ...
Tyrone Rees, Michael Wathen
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A Mixed Finite Element Formulation for Elastoplasticity [PDF]
16th edition of the International Conference on Computational Plasticity, 2021 Abstract The present article, provides a novel mixed finite element formulation for elastoplasticity which is suitable for the discretization of thin‐walled structures using highly anisotropic volume elements. We present a thermodynamically consistent framework for the modeling of elastoplastic stress response ...
Michaela Nagler +2 more
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IEEE Access, 2022 We use the fully discrete interpolation coefficient mixed finite element methods to solve the semi-linear parabolic optimal control problems. The space discretization of the state variable is separated using interpolation coefficient mixed finite ...
Jing Wang +3 more
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A family of H-div-div mixed triangular finite elements for the biharmonic equation
Results in Applied Mathematics, 2022 A family of Pk+22×2-PkH(divdiv)mixed finite elements on triangular grids is constructed for the biharmonic equation. For the H(divdiv)mixed finite element functions, both the stress tensor and its divergence have continuous normal components, σh⋅nand ...
Xiu Ye, Shangyou Zhang
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SoftwareX, 2022 MultiFEBE integrates multiple finite element and boundary element models for solving linear static and time harmonic multi-domain interaction problems within the field of computational mechanics.
Jacob D.R. Bordón +4 more
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Mixed methods for viscoelastodynamics and topology optimization [PDF]
Fracture and Structural Integrity, 2014 A truly-mixed approach for the analysis of viscoelastic structures and continua is presented. An additive decomposition of the stress state into a viscoelastic part and a purely elastic one is introduced along with an Hellinger-Reissner variational ...
Giacomo Maurelli +2 more
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Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations
Fractal and Fractional, 2023 In this paper, we consider a fully discrete interpolated coefficient mixed finite element method for semilinear time fractional reaction–diffusion equations. The classic L1 scheme based on graded meshes and new mixed finite element based on triangulation
Xiaowu Li, Yuelong Tang
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Construction of Supplemental Functions for Direct Serendipity and Mixed Finite Elements on Polygons
Mathematics, 2023 New families of direct serendipity and direct mixed finite elements on general planar, strictly convex polygons were recently defined by the authors. The finite elements of index r are H1 and H(div) conforming, respectively, and approximate optimally to ...
Todd Arbogast, Chuning Wang
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RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY [PDF]
Mathematical Models and Methods in Applied Sciences, 2005 We present a family of stable rectangular mixed finite elements for plane elasticity. Each member of the family consists of a space of piecewise polynomials discretizing the space of symmetric tensor fields in which the stress field is sought, and another to discretize the space of vector fields in which the displacement is sought.
Arnold, Douglas N., Awanou, Gerard
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A Mixed Finite Element Method for Stationary Magneto-Heat Coupling System with Variable Coefficients
Entropy, 2022 In this article, a mixed finite element method for thermally coupled, stationary incompressible MHD problems with physical parameters dependent on temperature in the Lipschitz domain is considered.
Qianqian Ding +2 more
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