Results 81 to 90 of about 52,764 (220)

Numerical Implementation of Meshless Methods for Beam Problems

Archives of Civil Engineering, 2012
For solving a partial different equation by a numerical method, a possible alternative may be either to use a mesh method or a meshless method. A flexible computational procedure for solving 1D linear elastic beam problems is presented that currently ...
Rosca V. E., Leitāo V. M. A.
doaj   +1 more source

Spline Galerkin methods for the Sherman-Lauricella equation on contours with corners

, 2015
Spline Galerkin approximation methods for the Sherman-Lauricella integral equation on simple closed piecewise smooth contours are studied, and necessary and sufficient conditions for their stability are obtained.
Didenko, Victor D., Tang, Tao, Vu, Anh My   +2 more
core   +1 more source

Nonlinear Model Order Reduction on Polynomial Manifolds for Computational Homogenisation Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Model order reduction (MOR) techniques utilising nonlinear approximation spaces can search for solutions to computational homogenisation problems on low‐dimensional approximation spaces. In combination with hyperreduction techniques, this allows for computations on representative volume elements (RVEs) to be accelerated by multiple orders of ...
Erik Faust, Lisa Scheunemann
wiley   +1 more source

A Mixed Discontinuous Galerkin Approximation of Time Dependent Convection Diffusion Optimal Control Problem

Journal of Mathematics, 2017
In this paper, we investigate a mixed discontinuous Galerkin approximation of time dependent convection diffusion optimal control problem with control constraints based on the combination of a mixed finite element method for the elliptic part and a ...
Qingjin Xu, Zhaojie Zhou
doaj   +1 more source

Rapid City‐Scale Earthquake Assessment by Combining Numerical Simulation and Sparse Sensing

Earthquake Spectra, Volume 42, Issue 2, May 2026.
This study proposes a framework to assess the seismic risk by integrating city‐scale numerical simulations with sensor data prediction. The study begins with advanced numerical simulations using two primary methods: the integrated earthquake simulator (IES) and the stochastic Green's function method.
Dongyang Tang, Hidekazu Usami, Saneiki Fujita, Reika Nomura, Kenjiro Terada, Susumu Ohno, Jia Guo, Masaaki Sakuraba, Kazuya Nojima, Shuji Moriguchi   +9 more
wiley   +1 more source

Numerical Solution of Stochastic Partial Differential Equations with Correlated Noise [PDF]

, 2013
In this paper we investigate the numerical solution of stochastic partial differential equations (SPDEs) for a wider class of stochastic equations. We focus on non-diagonal colored noise instead of the usual space-time white noise. By applying a spectral
Blömker, Dirk, Kamrani, Minoo
core   +1 more source

Numerical Model Reduction of Multi‐Scale Electrochemical Ion Transport

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In this paper, we develop a Numerical Model Reduction (NMR) framework for multi‐scale modeling of electro‐chemically coupled ion transport. Upon introducing the governing equations and employing Variationally Consistent Homogenization, a two‐scale model, consisting of a macro‐scale and a sub‐scale part, is obtained.
Vinh Tu, Fredrik Larsson, Kenneth Runesson, Ralf Jänicke   +3 more
wiley   +1 more source

Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion

, 2018
We present a class of spline finite element methods for time-domain wave propagation which are particularly amenable to explicit time-stepping. The proposed methods utilize a discontinuous Galerkin discretization to enforce continuity of the solution ...
Chan, Jesse, Evans, John A
core   +1 more source

Trefftz Discontinuous Galerkin Approximation of an Acoustic Waveguide

SIAM Journal on Numerical Analysis
We propose a modified Trefftz Discontinuous Galerkin (TDG) method for approximating a time-harmonic acoustic scattering problem in an infinitely elongated waveguide. In the waveguide we suppose there is a bounded, penetrable and possibly absorbing scatterer. The classical TDG is not applicable to this important case.
Peter Monk, Manuel Pena, Virginia Selgas
openaire   +2 more sources

A Levinson--Galerkin Algorithm for Regularized Trigonometric Approximation [PDF]

SIAM Journal on Scientific Computing, 2000
Trigonometric polynomials are widely used for the approximation of a smooth function $f$ from a set of nonuniformly spaced samples $\{f(x_j)\}_{j=0}^{N-1}$. If the samples are perturbed by noise, controlling the smoothness of the trigonometric approximation becomes an essential issue to avoid overfitting and underfitting of the data.
openaire   +4 more sources