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Implementation of Nonhomogeneous Dirichlet Boundary Conditions in the p-Version of the Finite Element Method

机译：有限元方法p-版本中非齐次Dirichlet边界条件的实现

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摘要

Various methods for treating nonhomogeneous Dirichlet boundary conditions for the p-version of the finite element method are presented. These methods are theoretically and computationally analyzed. Numerical experimentations are given. They clearly illustrate the importance of the right treatment of the nonhomogeneous Dirichlet boundary conditions. (JHD)

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作者
Babuska, I.; Guo, B.; Suri, M.;
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年度 1988
页码 p.1-42
总页数 42
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Finite element analysis; Dirichlet problem; Boundary value problems; Analysis(Mathematics);

机译：有限元分析; Dirichlet问题;边值问题;分析（数学）;

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专利

1. Linear scheme for finite element solution of nonlinear parabolic-elliptic problems with nonhomogeneous Dirichlet boundary condition [J] . ?íhová-?kabrahová Dana Applications of mathematics . 2001,第2期

机译：具有非齐次Dirichlet边界条件的非线性抛物-椭圆问题的有限元解的线性格式
2. Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions [J] . Molina Meyer Marcela, Prieto Medina Frank Richard Computers & mathematics with applications . 2021,第MAYa1期

机译：在非均匀的Dirichlet，Neumann和Robin边界条件下的磁盘中Laplace方程的极性差异化矩阵和非均匀性偏脊柱条件下的双谐波方程
3. Imposing dirichlet boundary conditions with Nitsche's method and spline-based finite elements [J] . Embar A., Dolbow J., Harari I. International Journal for Numerical Methods in Engineering . 2010,第7期

机译：使用Nitsche方法和基于样条的有限元强加Dirichlet边界条件
4. Lagrange Multiplier Implementation of Dirichlet Boundary Conditions in Compressible Navier- Stokes Finite Element Methods [C] . S. Allmaras AIAA Fluid Dynamics Conference . 2005

机译：可压缩Navier-Stokes有限元方法中Dirichlet边界条件的Lagrange乘积实现。
5. THE MODELING OF GALVANIC CORROSION SYSTEMS USING NUMERICAL METHODS WITH PARTICULAR ATTENTION TO BOUNDARY CONDITIONS OF NONLINEAR POLARIZATION (ELECTROCHEMISTRY, FINITE-ELEMENT METHODS). [D] . MUNN, RAYMOND SHATTUCK. 1986

机译：电偶腐蚀系统的建模使用数值方法，特别注意非线性极化的边界条件（电化学，有限元方法）。
6. Biaxial Tension of Fibrous Tissue: Using Finite Element Methods to Address Experimental Challenges Arising From Boundary Conditions and Anisotropy [O] . Nathan T. Jacobs, Daniel H. Cortes, Edward J. Vresilovic, -1

机译：纤维组织的双轴拉伸：使用有限元方法解决边界条件和各向异性带来的实验挑战
7. Linear scheme for finite element solution of nonlinear parabolic-elliptic problems with nonhomogeneous Dirichlet boundary condition [O] . Říhová-Škabrahová, Dana 2001

机译：具有非齐次Dirichlet边界条件的非线性抛物-椭圆问题的有限元解的线性格式
8. Treatment of Nonhomogeneous Dirichlet Boundary Conditions by the p-Version of the Finite Element Method [R] . Babuska, I., Suri, M. 1987

机译：用p型有限元法处理非齐次Dirichlet边界条件

Implementation of Nonhomogeneous Dirichlet Boundary Conditions in the p-Version of the Finite Element Method

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