Performance of nonconforming spectral element method for Stokes problems

被引：1

作者：

Kumar, N. Kishore ^{[1
]}

Mohapatra, Subhashree ^{[2
]}

机构：

[1] BITS Pilani Hyderabad Campus, Hyderabad, India

[2] IIIT Delhi, New Delhi, India

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2022年 / 41卷 / 04期

关键词：

Stokes equations; Velocity; Pressure; Spectral element; Nonconforming; Exponential accuracy; PCGM; LEAST-SQUARES METHODS; DISCONTINUOUS GALERKIN METHODS; VELOCITY-PRESSURE FORMULATION; COMPUTATIONAL FLUID-DYNAMICS; BOUNDARY NODE METHOD; STRESS FORMULATION; COLLOCATION METHOD; MASS-CONSERVATION; ITERATIVE METHOD; EQUATIONS;

D O I：

10.1007/s40314-022-01863-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonconforming spectral element method for the Stokes problem on nonsmooth domains has been proposed in Mohapatra et al. (J Comput Appl Math 372:112696, 2020). The main focus of this article is to study the performance of this method for Stokes problems on smooth curvilinear domains and Stokes problem with mixed boundary conditions. Various test cases are considered including the generalized Stokes problem in R-2 and R-3 to verify the exponential accuracy of the method.

引用

页数：20

共 78 条

[1] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2.
AGMON, S
DOUGLIS, A
NIRENBERG, L
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) : 35 - &
[2] Local radial basis function collocation method for stokes equations with interface conditions
Ahmad, Masood
Siraj-ul-Islam
Ullah, Baseer
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2020, 119 : 246 - 256
[3] Amara M, 2004, MATH COMPUT, V73, P1673
[4] Apel T, 2020, ARXIV20021217V1
[5] Arnold D.-N., 1984, CALCOLO, V21, P337, DOI 10.1007/bf02576171
[6] AZIZ AK, 1985, MATH COMPUT, V44, P53, DOI 10.1090/S0025-5718-1985-0771030-5
[7] FINITE-ELEMENT METHOD WITH LAGRANGIAN MULTIPLIERS
BABUSKA, I
[J]. NUMERISCHE MATHEMATIK, 1973, 20 (03) : 179 - 192
[8] Barrenechea GR, 2002, NUMER MATH, V92, P653, DOI [10.1007/s002110100371, 10.1007/S002110100371]
[9] Belgacem FB, 2002, RECENT DEV DOMAIN DE, V23
[10] Mixed mortar finite element method for the incompressible stokes problem: Convergence analysis
Ben Belgacem, F
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 37 (04) : 1085 - 1100

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