Solution of the Elliptic Interface Problem by a Hybrid Mixed Finite Element Method

Solution of the Elliptic Interface Problem by a Hybrid Mixed Finite Element Method

This paper addresses the elliptic interface problem involving jump conditions across the interface. We propose a hybrid mixed finite element method on the triangulation where the interfaces are aligned with the mesh. The second-order elliptic equation is initially decomposed into two equations by in...

书目详细资料
Main Authors:	Yuhan Wang, Peiyao Wang, Rongpei Zhang, Jia Liu
格式:	文件
语言:	English
出版:	MDPI AG 2024-06-01
丛编:	Mathematics
主题:	hybrid mixed finite element method discontinuous coefficient elliptic interface problem
在线阅读:	https://www.mdpi.com/2227-7390/12/12/1892

相似书籍

A partially penalty immersed Crouzeix-Raviart finite element method for interface problems
由: Na An, et al.
出版: (2017-08-01)

The finite element method for elliptic problems /
由: 445364 Ciarlet, Philippe G.
出版: (2002)

Flux recovery scheme for elliptic interface problems
由: M. El-Agamy, et al.
出版: (2023-01-01)

Sparse tensor product finite elements for two scale elliptic and parabolic equations with discontinuous coefficients
由: Pang, Chen Hui, et al.
出版: (2025)

A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints
由: Susanne C. Brenner, et al.
出版: (2025-02-01)

Existence of solutions to nonlocal elliptic equations with discontinuous terms
由: Francisco Julio S. A. Correa, et al.
出版: (2012-02-01)

A class of HOC finite difference method for elliptic interface problems with imperfect contact
由: Fujun Cao, et al.
出版: (2023-01-01)

On the character of nonlinearity discontinuities in eigenvalue problems for elliptic equations
由: Dmitriy K Potapov
出版: (2012-09-01)

Error estimates for an augmented method for one-dimensional elliptic interface problems
由: Qian Zhang, et al.
出版: (2018-09-01)

Pointwise superconvergence of block finite elements for the three-dimensional variable coefficient elliptic equation
由: Jinghong Liu, et al.
出版: (2024-10-01)

A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points
由: Yuan Chen, et al.
出版: (2020-11-01)

Elliptic mirror finite element analysis of double drive compensated bending
由: MA Tianyu, et al.
出版: (2022-06-01)

Estimation of discontinuous parameters in linear elliptic equations by a regularized inverse problem
由: Jochen Merker, et al.
出版: (2022-06-01)

An introduction to the mathematical theory of finite elements /
由: Oden, J. Tinsley (John Tinsley), 1936-, et al.
出版: (1976)

The finite element method for elliptic problems
由: 445364 Ciarlet, Philippe G.

Convergence Analysis and Cost Estimate of an MLMC-HDG Method for Elliptic PDEs with Random Coefficients
由: Meng Li, et al.
出版: (2021-05-01)

Stable finite element methods for the Stokes problem
由: Yongdeok Kim, et al.
出版: (2000-01-01)

Research on the lubricated characteristics of journal bearing based on finite element method and mixed method
由: Wenjie Zhou, et al.
出版: (2022-06-01)

Singular elliptic problems with Dirichlet or mixed Dirichlet-Neumann non-homogeneous boundary conditions
由: Tomas Godoy
出版: (2022-12-01)

Numerical approximation methods for elliptic boundary value problems : finite and boundary elements /
由: 235765 Steinbach, Olaf
出版: (2008)

Analysis of Crack Propagation in Composite Materials Using Mixed Finite Elements
由: Bougueroua Ahmed, et al.
出版: (2024-12-01)

On number of solutions in eigenvalue problems for elliptic equations with discontinuous nonlinearities
由: Dmitriy K Potapov
出版: (2012-03-01)

Fully Discrete Interpolation Coefficients Mixed Finite Element Methods for Semi-Linear Parabolic Optimal Control Problem
由: Jing Wang, et al.
出版: (2022-01-01)

Multipoint flux mixed finite element method for parabolic optimal control problems
由: Tiantian Zhang, et al.
出版: (2022-07-01)

P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions
由: S.C. Brenner, et al.
出版: (2020-11-01)

A finite element method for exterior interface problems
由: R. C. Maccamy, et al.
出版: (1980-01-01)

3D mixed finite elements for curved, flat piezoelectric structures
由: Martin Meindlhumer, et al.
出版: (2019-10-01)

A Preserving Precision Mixed Finite Element Dimensionality Reduction Method for Unsaturated Flow Problem
由: Zhendong Luo, et al.
出版: (2022-11-01)

Simulation of Stress Concentration Problems in Laminated Plates by Quasi-Trefftz Finite Element Models
由: Flávio Luiz de Silva Bussamra, et al.

Numerical investigation of convergence in the $ L^{\infty} $ norm for modified SGFEM applied to elliptic interface problems
由: Pengfei Zhu, et al.
出版: (2024-11-01)

Numerical and machine learning modeling of GFRP confined concrete-steel hollow elliptical columns
由: Haytham F. Isleem, et al.
出版: (2024-08-01)

A Finite Volume Method to Solve the Ill-Posed Elliptic Problems
由: Ying Sheng, et al.
出版: (2022-11-01)

Finite element analysis of an arbitrary Lagrangian–Eulerian method for Stokes/parabolic moving interface problem with jump coefficients
由: Rihui Lan, et al.
出版: (2020-11-01)

A family of H-div-div mixed triangular finite elements for the biharmonic equation
由: Xiu Ye, et al.
出版: (2022-08-01)

Stabilized finite element method for the stationary mixed Stokes–Darcy problem
由: Jiaping Yu, et al.
出版: (2018-09-01)

A Novel T-G IFE Method for Two Dimensional Semi-Linear Elliptic Interface Problems Based on Coarse Grid Correction
由: Tiecheng Zhang, et al.
出版: (2024-01-01)

Immersed finite element methods for convection diffusion equations
由: Gwanghyun Jo, et al.
出版: (2023-01-01)

Evaluating the Performance of the Hybrid Boundary Element- Finite Element (BE-FE) Method to Solve Electroencephalography (EEG) Forward Problem Based on the Mesh Quality: A Simulation Study
由: Nasireh Dayarian, et al.
出版: (2023-03-01)

Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation
由: Jian Li, et al.
出版: (2024-05-01)

Existence and uniqueness for a two-point interface boundary value problem
由: Rakhim Aitbayev
出版: (2013-10-01)