COMPARISON BETWEEN NUMERICAL METHODS APPLIED TO THE DAMPED WAVE EQUATION

被引：1

作者：

Aimi, A. ^{[1
]}

Diligenti, M. ^{[1
]}

Guardasoni, C. ^{[1
]}

机构：

[1] Univ Parma, Dept Math Phys & Comp Sci, I-43124 Parma, Italy

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2017年 / 29卷 / 01期

关键词：

Damped wave equation; energetic boundary element method; energetic finite element method; finite differences schemes; DISCRETIZED OPERATIONAL CALCULUS; CONVOLUTION QUADRATURE; DIRECT FORMULATION; BEM; PROPAGATION; MULTIDOMAINS;

D O I：

10.1216/JIE-2017-29-1-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the numerical solution of Dirichlet-Neumann problems related to 1D damped wave propagation, from a numerical point of view, we compare the so-called energetic approach, considered here separately for boundary and finite element methods with classical finite difference schemes, both explicit and implicit. The analysis reveals the superiority of energetic approximations with respect to unconditional stability and accuracy with respect to any choice of discretization parameters.

引用

页码：5 / 40

页数：36

共 50 条

[1] NUMERICAL ANALYSIS FOR A LOCALLY DAMPED WAVE EQUATION
Rincon, M. A.
Copetti, M. I. M.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2013, 3 (02): : 169 - 182
[2] Numerical Methods for the Wave Equation
Reyes, J. Paxon
Shadwick, B. A.
ADVANCED ACCELERATOR CONCEPTS, 2010, 1299 : 256 - 261
[3] Numerical approximation of the LQR problem in a strongly damped wave equation
Erwin Hernández
Dante Kalise
Enrique Otárola
Computational Optimization and Applications, 2010, 47 : 161 - 178
[4] Numerical approximation of the LQR problem in a strongly damped wave equation
Hernandez, Erwin
Kalise, Dante
Otarola, Enrique
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2010, 47 (01) : 161 - 178
[5] NUMERICAL ANALYSIS OF THE DAMPED WAVE EQUATION BY "ENERGETIC" WEAK FORMULATIONS
Aimi, A.
Diligenti, M.
Guardasoni, C.
Panizzi, S.
11TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS; 5TH EUROPEAN CONFERENCE ON COMPUTATIONAL MECHANICS; 6TH EUROPEAN CONFERENCE ON COMPUTATIONAL FLUID DYNAMICS, VOLS II - IV, 2014, : 3815 - 3826
[6] Optimizing the decay rate in the damped wave equation: A numerical study
Fahroo, F
PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 2108 - 2113
[7] Efficient and accurate numerical methods for nonlinear strongly damped wave equation in 2+1 dimensions
Kadri, Tlili
Rahmeni, Mohamed
Omrani, Khaled
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 160 : 148 - 160
[8] Uniform stabilization of a viscous numerical approximation for a locally damped wave equation
Muench, Arnaud
Pazoto, Ademir Fernando
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2007, 13 (02) : 265 - 293
[9] Wave-equation traveltime inversion: Comparison of three numerical optimization methods
Zheng, Yikang
Wang, Yibo
Chang, Xu
COMPUTERS & GEOSCIENCES, 2013, 60 : 88 - 97
[10] Comparison of numerical and analytical methods for the reduced wave equation with multiple spatial scales
1600, (07):

← 1 2 3 4 5 →