Results 11 to 20 of about 4,650,450 (283)
Research on Output Characteristics of Microscale BST Laminate Structure Based on Mixed Finite Element Method [PDF]
Micromachines, 2023 The flexoelectric effect, which is sensitive to size, refers to the phenomenon of coupling between the strain gradient and electrical polarization and involves higher-order derivatives of physical quantities such as displacement, and the analytical ...
Ying Luo, Tian Pu, Hongguang Liu
doaj +2 more sources
A mixed finite element discretisation of linear and nonlinear multivariate splines using the Laplacian penalty based on biorthogonal systems [PDF]
MethodsX, 2023 We consider a mixed finite element method for a linear multivariate spline using the Laplacian penalty. Our discretisation is based on biorthogonal systems leading to a very simple and efficient finite element scheme.
Bishnu P. Lamichhane
doaj +2 more sources
The Mixed Finite Element Multigrid Method for Stokes Equations [PDF]
The Scientific World Journal, 2015 The stable finite element discretization of the Stokes problem produces a symmetric indefinite system of linear algebraic equations. A variety of iterative solvers have been proposed for such systems in an attempt to construct efficient, fast, and robust
K. Muzhinji, S. Shateyi, S. S. Motsa
doaj +2 more sources
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
core +7 more sources
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
core +10 more sources
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
openaire +3 more sources
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
openaire +3 more sources
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
core +4 more sources
IEEE Access, 2022 This study focuses on a reduced-order extrapolation method for the coefficient vectors of the mixed finite element solution for two-dimensional fourth-order hyperbolic equation. We first establish the mixed finite element scheme for the equation and give
Changbiao Yu, Wenwen Xu, Xindong Li
doaj +1 more source
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
doaj +1 more source