نتایج جستجو برای: discretization method

تعداد نتایج: 1638850  

Journal: :Multiscale Modeling & Simulation 2021

Transition path theory (TPT) for diffusion processes is a framework analyzing the transitions of multiscale ergodic between disjoint metastable subsets state space. Most methods applying TPT involve construction Markov model on discretization space that approximates underlying process. However, assumption Markovianity difficult to verify in practice, and there are date no known error bounds or ...

Journal: :Math. Comput. 2007
Wang Ming Jinchao Xu

This paper is devoted to the construction of nonconforming finite elements for the discretization of fourth order elliptic partial differential operators in three spatial dimensions. The newly constructed elements include two nonconforming tetrahedral finite elements and one quasi-conforming tetrahedral element. These elements are proved to be convergent for a model biharmonic equation in three...

2004
E. B. DAVIES

Two different numerical methods for solving a non-self-adjoint evolution equation are compared in this paper. If the initial function lies in the domain of the operator, a recently proposed method that combines pseudospectral ideas and semigroup theory is shown to be considerably more accurate than a standard discretization method. One example is worked out in detail, but the methods used are o...

Journal: :J. Computational Applied Mathematics 2012
Annika Lang

This work describes a Galerkin type method for stochastic partial differential equations of Zakai type driven by an infinite dimensional càdlàg square integrable martingale. Error estimates in the semidiscrete case, where discretization is only done in space, are derived in L and almost sure senses. Simulations confirm the theoretical results.

Journal: :Adv. Comput. Math. 2000
Kendall E. Atkinson David Da-Kwun Chien

A “fast matrix–vector multiplication method” is proposed for iteratively solving discretizations of the radiosity equation (I −K)u = E. The method is illustrated by applying it to a discretization based on the centroid collocation method. A convergence analysis is given for this discretization, yielding a discretized linear system (I − Kn)un = En. The main contribution of the paper is the prese...

2006
S. K. Tomar

We present a higher order accurate discontinuous Galerkin finite element method for the simulation of linear free-surface gravity waves. The method uses the classical Runge-Kutta method for the time discretization of the free-surface equations and the discontinuous Galerkin method for the space discretization. In order to circumvent numerical instabilities arising from an asymmetric mesh a stab...

Journal: :Numerische Mathematik 2001
Petr Vanek Marian Brezina Jan Mandel

We prove a convergence estimate for the Algebraic Multigrid Method with prolongations deened by aggregation using zero energy modes, followed by a smoothing. The method input is the problem matrix and a matrix of the zero energy modes. The estimate depends only polylogarithmically on the mesh size, and requires only a weak approximation property for the aggregates, which can be a-priori veriied...

2006
Suely Oliveira Fang Yang

In this paper we describe and compare preconditioners for saddle-point systems obtained from meshfree discretizations, using the concepts of hierarchical (or H-)matrices. Previous work by the authors using this approach did not use H-matrix techniques throughout, as is done here. Comparison shows the method described here to be better than the author’s previous method, an AMG method adapted to ...

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