Results 31 to 40 of about 107 (104)

Adaptive FEM and CIPFEM for a nonlinear Helmholtz equation with high wave number

European Journal of Applied Mathematics
A nonlinear Helmholtz (NLH) equation with high frequencies and corner singularities is discretized by the linear finite element method (FEM) and the continuous interior penalty finite element method (CIPFEM).
Run Jiang, Haijun Wu, Yifeng Xu, Jun Zou
doaj   +1 more source

PARALLEL IMPLEMENTATIONS OF THE FAST SWEEPING METHOD

, 2008
. The fast sweeping method is an efficient iterative method for hyperbolic problems. It combines Gauss-Seidel iteration with alternating sweeping ordering. In this paper several parallel implementations of the fast sweeping method are presented.
Hongkai Zhao
core  

Analysis of Least Squares Finite Element Methods for the Stokes Equations

, 1994
In this paper we consider the application of least-squares principles to the approximate solution of the Stokes equations cast into a first-order velocity-vorticity-pressure system. Among the most attractive features of the resulting methods are that the
Max D. Gunzburger, Pavel B. Bochev
core   +1 more source

On the stability of meshless symmetric collocation for boundary value problems

, 2007
In this paper, we study the stability of symmetric collocation methods for boundary value problems using certain positive definite kernels. We derive lower bounds on the smallest eigenvalue of the associated collocation matrix in terms of the separation ...
Holger Wendland (16057514), Holger Wendland   +1 more
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Convergence analysis of pseudo-transient continuation

, 1998
. Pseudo-transient continuation ( tc) is a well-known and physically motivated technique for computation of steady-state solutions of time-dependent partial dierential equations.
David, C. T. Kelley, E. Keyes
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Unconditionally Stable Finite Difference Scheme and Iterative Solution of 2D Microscale Heat Transport Equation

, 2000
A two dimensional time dependent heat transport equation at the microscale is derived. A second order finite difference scheme in both time and space is introduced and the unconditional stability of the finite difference scheme is proved. A computational
Jun Zhang, Jennifer J. Zhao
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An Efficient Iterative Method for Stokes and Lamé Equations for Nearly Incompressible Media with Highly Discontinuous Coefficients

, 2007
. We consider an efficient iterative solution technique for the isotropic linear elasticity (Lam'e) equations for nearly incompressible media and Stokes equations with highly discontinuous coefficients. The iterative method involves a special choice
A. V. Knyazev, R. R. Parashkevov, N. S. Bakhvalov   +2 more
core  

Convergence Analysis Of Pseudo-Transient Continuation

, 1997
. Pseudo-transient continuation (\Psitc) is a well-known and physically motivated technique for computation of steady-state solutions of time-dependent partial differential equations.
David, David E. Keyes, C. T. Kelley
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Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. [PDF]

Comput Math Appl, 2023
Guan Q, Queisser G, Zhao W.
europepmc   +1 more source

Computable convergence bounds for GMRES

, 1998
The main purpose of this paper is the derivation of computable bounds on the residual norms of (full) GMRES. The new bounds depend on the initial guess and thus are conceptually different from standard 'worst-case' bounds. The analysis is valid
Jörg Liesen
core