Results 41 to 50 of about 173,975,381 (346)
Analysis of FETI methods for multiscale PDEs [PDF]
Numerische Mathematik, 2008 This paper is concerned with the convergence of a variant of the finite element tearing and interconnecting (FETI) methods for a model of elliptic problem with highly heterogeneous (multiscale) coefficients \(\alpha(x)\); in particular, \(\alpha\) can have strong variation within subdomains and/or jumps that are not aligned with the subdomain ...
Clemens Pechstein, Robert Scheichl
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Fractional Dissipative PDEs [PDF]
, 2023 In this chapter we provide an introduction to fractional dissipative partial differential equations (PDEs) with a focus on trying to understand their dynamics.
Akagi, Goro +6 more
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AIP Advances, 2023 The present study introduces a novel algorithm based on the homotopy analysis method (HAM) to efficiently solve the equation of motion of simply supported transversely and axially loaded double-beam systems.
Kabutakapua Kakanda +7 more
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Discussion Paper: A New Mathematical Framework for Representation and Analysis of Coupled PDEs
IFAC-PapersOnLine, 2019 We present a computational framework for stability analysis of systems of coupled linear Partial-Differential Equations (PDEs). The class of PDE systems considered in this paper includes parabolic, elliptic and hyperbolic systems with Dirichlet, Neuman ...
M. Peet +3 more
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Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces [PDF]
SIAM Journal on Numerical Analysis, 2016 We present a new high-order finite element method for the discretization of partial differential equations on stationary smooth surfaces which are implicitly described as the zero level of a level set function.
Jörg Grande +2 more
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Evolution of weak discontinuity in a van der Waals gas
Ain Shams Engineering Journal, 2015 In this article, the Lie symmetries analysis that leaves the system of partial differential equations (PDEs), governed by the one dimensional unsteady flow of an isentropic, inviscid and perfectly conducting compressible fluid obeying the van der Waals ...
B. Bira, T. Raja Sekhar
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D3M: A Deep Domain Decomposition Method for Partial Differential Equations
IEEE Access, 2020 A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be formulated as the solution of a constrained optimization problem, and we ...
Ke Li +3 more
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SIAM Journal of Control and Optimization, 2019 We analyze the sensitivity of the extremal equations that arise from the first order optimality conditions for time dependent optimization problems.
L. Grüne, M. Schaller, A. Schiela
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ESAIM: Mathematical Modelling and Numerical Analysis, 2019 Multiscale methods based on coupled partial differential equations defined on bulk and embedded manifolds are still poorly explored from the theoretical standpoint, although they are successfully used in applications, such as microcirculation and flow in
F. Laurino, P. Zunino
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Open Physics, 2020 In this paper, we examine conservation laws (Cls) with conformable derivative for certain nonlinear partial differential equations (PDEs). The new conservation theorem is used to the construction of nonlocal Cls for the governing systems of equation.
Qurashi Maysaa Mohamed Al
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