High Order Unfitted Finite Element Method for Elliptic Interface Problems with Automatic Mesh Generation
The author presents an adaptive high-order unfitted finite element method for elliptic interface problems, focusing on automatic mesh generation and reliable implementation. The approach involves a posteriori error estimates and competitive performance demonstrations.
A New H(div div)-Conforming Finite Element Space for the Biharmonic Equation
A new H(div div)-conforming finite element space is introduced for the biharmonic equation.
Multiscale Finite Element Method for Non-Stationary Stokes-Darcy Model
Combining multiscale finite element method for solving non-stationary Stokes-Darcy model efficiently.
Stabilizer-Free Weak Galerkin Mixed Finite Element Method for Biharmonic Equation
Presenting a stabilizer-free weak Galerkin method for the Ciarlet-Raviart mixed form of the Biharmonic equation on polygonal meshes.
H(div)-conforming Finite Element Tensors: Unified Construction and Boundary Degrees of Freedom
一貫した構築と境界自由度の深い探求によるH(div)-適合有限要素テンソルの開発。
Time Filtering Methods for Electrohydrodynamics Models: Finite Element Approach
Establishing finite element formats for electrofluid dynamics models through time filtering methods to achieve second-order convergence accuracy.
Low-Order Locking-Free Multiscale Finite Element Method for Isotropic Elasticity
Proposing low-order finite elements for linear elasticity without Poisson locking.
Detailed Proofs for the Construction of Simplicial Lagrange Finite Elements
This document provides detailed pen-and-paper proofs for the construction of simplicial Lagrange finite elements of any degree in any dimension, with the goal of formalizing these proofs in the Coq proof assistant.
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