Results 91 to 100 of about 12,638,036 (224)
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Ice shelves are floating seaward extensions of glaciers that form where land‐based ice flows into the ocean. Recent observations suggest that their mechanical behavior is suitably described by a viscoelastic Maxwell model, as this framework captures both the instantaneous elastic response and the time‐dependent viscous flow of ice.
Marvin Koßler +4 more
wiley +1 more source
Comparison of DDFV and DG Methods for Flow in Anisotropic Heterogeneous Porous Media
Oil & Gas Science and Technology, 2014 We present a preliminary work to simulate gas injection in deep aquifers. Unsteady single-phase flows are considered. We compare Discrete Duality Finite Volume (DDFV, Discrete Duality Finite Volume) and Discontinuous Galerkin (DG, Discontinuous Galerkin)
Baron V., Coudière Y., Sochala P.
doaj +1 more source
Continuation of Periodic Solutions in Conservative Systems Leveraging the First Integral of Motion
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Dynamical systems are often analysed with respect to a system parameter, for which numerical continuation methods are typically used. In most cases, dissipative systems are considered. Here, the continuation of periodic solutions requires the existence of an explicit parameter that can be varied during the continuation process.
Julian Vogelei +2 more
wiley +1 more source
Discontinuous Galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems [PDF]
, 2006 We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Christoph Ortner +3 more
core +1 more source
High-order adaptive Galerkin methods
, 2015 We design adaptive high-order Galerkin methods for the solution of linear elliptic problems and study their performance. We first consider adaptive Fourier-Galerkin methods and Legendre-Galerkin methods, which offer unlimited approximation power only ...
Verani, M. +11 more
core +2 more sources
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The purpose of the work is to develop and implement the parallel algorithm for numerical solving the problem of electromagnetic wave diffraction by non-planar perfectly conducting screens. Materials and methods. Vector integro-differential
A. A. Tsupak
doaj +1 more source
Shooting Methods for Boundary Value Problems of Fractional Differential Equations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We consider two‐point boundary value problems of fractional differential equations (FDEs) including a Caputo derivative with a fractional order in the range (0,1) or (1,2). The numerical solution of a boundary value problem is investigated using shooting methods.
Roland Pulch, Abhishek Kumar Singh
wiley +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Regenerative medicine is a promising approach for the treatment of meniscus injuries. In silico experiments provide a valuable framework for optimizing such therapies by improving the understanding of both environmental effects on cell behavior and the interaction between cells and nonwoven scaffolds, which act as porous media supporting cell ...
Ahmad Hussein +3 more
wiley +1 more source
Formulation, analysis and solution algorithms for a model of gradient plasticity within a discontinuous Galerkin framework [PDF]
, 2008 Includes bibliographical references (p. [221]-239).An investigation of a model of gradient plasticity in which the classical von Mises yield function is augmented by a term involving the Laplacian of the equivalent plastic strain is presented. The theory
McBride, Andrew Trevor
core +1 more source
Normalized Bernstein polynomials in solving space-time fractional diffusion equation
Advances in Difference Equations, 2017 In this paper, we solve a time-space fractional diffusion equation. Our methods are based on normalized Bernstein polynomials. For the space domain, we use a set of normalized Bernstein polynomials and for the time domain, which is a semi-infinite domain,
A Baseri, E Babolian, S Abbasbandy
doaj +1 more source