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Efficient parameter identification using nonsmooth and nonconvex regularization for inverse problem of diffuse optical tomography. [PDF]

Sci Rep
Tang J, Bi B.
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Computation of Viscoelastic Shear Shock Waves Using Finite Volume Schemes With Artificial Compressibility. [PDF]

Int J Numer Method Biomed Eng
Berjamin H.
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A thermodynamic inspired AI based search algorithm for solving ordinary differential equations. [PDF]

Sci Rep
Murugesh V, Priyadharshini M, Mahesh TR, Esleman EA.   +3 more
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Space-Time Discontinuous Galerkin Methods for Linear Hyperbolic Systems and the Application to the Forward Problem in Seismic Imaging

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, 2020
We consider a p-adaptive discontinuous Galerkin method in space and time for linear hyperbolic systems. This is applied to the visco-acoustic wave equation in the formulation as first-order system. The method is applied to the forward problem in seismic imaging, and we study the convergence of the fully adaptive parallel method by the numerical ...
Dörfler, Willy, Wieners, Christian, Ziegler, Daniel   +2 more
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Continuous and discontinuous Galerkin methods with finite elements in space and time for parallel computing of viscoelastic deformation

Computer Methods in Applied Mechanics and Engineering, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Idesman, Alexander, Niekamp, Rainer, Stein, Erwin   +2 more
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A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations

Applied Mathematics and Computation, 2021
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Dong, Ziming, Li, Hong
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Regularity results and numerical solution by the discontinuous Galerkin method to semilinear parabolic initial boundary value problems with nonlinear Newton boundary conditions in a polygonal space-time cylinder

Journal of Numerical Mathematics, 2022
Abstract In this note we consider a parabolic evolution equation in a polygonal space-time cylinder. We show, that the elliptic part is given by a m-accretive mapping from L q (Ω) → L q (Ω).
Balázsová, Monika, Feistauer, Miloslav, Sändig, Anna-Margarete   +2 more
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Discontinuous Galerkin Methods with Time-Operators in Their Numerical Traces for Time-Dependent Electromagnetics

Comput. Methods Appl. Math., 2022
We present a new class of discontinuous Galerkin methods for the space discretization of the time-dependent Maxwell equations whose main feature is the use of time derivatives and/or time integrals in the stabilization part of their numerical traces ...
Bernardo Cockburn, Shukai Du, M. Sánchez   +2 more
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A hybrid discontinuous in space and time Galerkin method for wave propagation problems

International Journal for Numerical Methods in Engineering, 2014
SUMMARYMedium‐frequency regime and multi‐scale wave propagation problems have been a subject of active research in computational acoustics recently. New techniques have attempted to overcome the limitations of existing discretization methods that tend to suffer from dispersion.
Wang, Dalei, Tezaur, Radek, Farhat, Charbel   +2 more
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