Two new approaches for solving elliptic obstacle problems using discontinuous Galerkin methodsSpringer Science and Business Media LLC - Tập 62 - Trang 89-124 - 2021
Sharat Gaddam, Thirupathi Gudi, Kamana Porwal
The main aim of this article is to present two new ways to solve the elliptic obstacle problem by using discontinuous Galerkin finite element methods. In Gaddam and Gudi (Comput Methods Appl Math 18:223–236, 2018.
https://doi.org/10.1515/cmam-2017-0018...... hiện toàn bộ
Accurate discretization of poroelasticity without Darcy stabilitySpringer Science and Business Media LLC - Tập 61 - Trang 941-976 - 2021
Kent-Andre Mardal, Marie E. Rognes, Travis B. Thompson
In this manuscript we focus on the question: what is the correct notion of Stokes–Biot stability? Stokes–Biot stable discretizations have been introduced, independently by several authors, as a means of discretizing Biot’s equations of poroelasticity; such schemes retain their stability and convergence properties, with respect to appropriately defined norms, in the context of a vanishing storage c...... hiện toàn bộ
A simplified HSS preconditioner for generalized saddle point problemsSpringer Science and Business Media LLC - Tập 56 - Trang 423-439 - 2015
Yang Cao, Zhi-Ru Ren, Quan Shi
For generalized saddle point problems, we propose a simplified Hermitian and skew-Hermitian splitting (SHSS) preconditioner which is much closer to the generalized saddle point matrix than the HSS preconditioner. It is proved that all eigenvalues of the SHSS preconditioned matrix are real and nonunit eigenvalues are located in a positive interval. We also study the eigenvector distribution and the...... hiện toàn bộ
Các Ước Lượng Aubin—Nitsche Tương Đương Với Các Nhúng Chặt Dịch bởi AI Springer Science and Business Media LLC - Tập 44 - Trang 287-290 - 2004
Francisco-Javier Sayas
Trong ghi chú ngắn này, chúng tôi chỉ ra rằng việc có một ước lượng loại Aubin–Nitsche (một ước lượng siêu hội tụ trong một chuẩn yếu hơn cho một phương pháp Galerkin hội tụ) là tương đương với việc có nhúng chặt của không gian vào không gian hoàn thành của nó với chuẩn yếu hơn.
#Aubin–Nitsche #ước lượng #nhúng chặt #phương pháp Galerkin #hội tụ
Optimal quadratures for analytic functionsSpringer Science and Business Media LLC - Tập 12 - Trang 489-502 - 1972
M. M. Chawla, B. L. Raina
For integrals∫
−1
1
w(x)f(x)dx with
$$w(x) = (1 - x)^{ \pm \tfrac{1}{2}} (1 + x)^{ \pm \tfrac{1}{2}} $$
and with analytic integrands, we consider the determination of “optimal” abscissasx
...... hiện toàn bộ
Time considered irrelevant for real-time systemsSpringer Science and Business Media LLC - Tập 28 - Trang 473-486 - 1988
W. M. Turski
Various manifestations of the time-as-a-proxy phenomenon in specification of computing problems are considered. It is argued that unless the time-related considerations constitute an essential part of natural (physical) problems, safer specifications are obtained from avoiding short-cuts offered by introduction of time-related notions. This methodological principle is illustrated by examples from ...... hiện toàn bộ
Solution of Index 2 Implicit Differential-Algebraic Equations by Lobatto Runge-Kutta MethodsSpringer Science and Business Media LLC - - 2003
L. O. Jay
We consider the numerical solution of systems of index 2 implicit differential-algebraic equations (DAEs) by a class of super partitioned additive Runge–Kutta (SPARK) methods. The families of Lobatto IIIA-B-C-C*-D methods are included. We show super-convergence of optimal order 2s−2 for the s-stage Lobatto families provided the constraints are treated in a particular way which strongly relies on s...... hiện toàn bộ