Search Results - boundary element methods for initial value AND initial-boundary value problems involving des*
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Numerical analysis of a dual‐phase‐lag model involving two temperatures
ISSN: 0170-4214, 1099-1476Published: Freiburg Wiley Subscription Services, Inc 30.03.2020Published in Mathematical methods in the applied sciences (30.03.2020)“… Then, using the finite element method to approximate the spatial variable and the implicit Euler scheme to discretize the time derivatives, fully discrete approximations are introduced…”
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A face‐centred finite volume method for second‐order elliptic problems
ISSN: 0029-5981, 1097-0207Published: Bognor Regis Wiley Subscription Services, Inc 24.08.2018Published in International journal for numerical methods in engineering (24.08.2018)“…Summary This work proposes a novel finite volume paradigm, ie, the face‐centred finite volume (FCFV) method…”
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Design and Application of a Gradient-Weighted Moving Finite Element Code II: in Two Dimensions
ISSN: 1064-8275, 1095-7197Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.05.1998Published in SIAM journal on scientific computing (01.05.1998)“…In part I the authors reported on the design of a robust and versatile gradient-weighted moving finite element (GWMFE…”
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Isogeometric schemes in rarefied gas dynamics context
ISSN: 0045-7825, 1879-2138Published: Amsterdam Elsevier B.V 01.09.2021Published in Computer methods in applied mechanics and engineering (01.09.2021)“… A microscopic/kinetic description becomes necessary. In this work, we introduce isogeometric (IG) kinetic schemes (KS) for the full Boltzmann equation and related kinetic models…”
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Coupling finite element and reliability analysis through proper generalized decomposition model reduction
ISSN: 0029-5981, 1097-0207Published: Chichester Blackwell Publishing Ltd 28.09.2013Published in International journal for numerical methods in engineering (28.09.2013)“… with reliability analysis algorithms allows to compute the failure probability of the system. However, this coupling leads to successive finite element analysis of parametric models involving high computational effort…”
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Numerical formulation for solving soil tool interaction problem involving large deformation
ISSN: 0264-4401, 1758-7077Published: Bradford Emerald Group Publishing Limited 01.01.2005Published in Engineering computations (01.01.2005)“… Design methodology approach - We introduced soil constitutive equation in a FE software initially designed for the metal forming…”
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A quasistatic contact problem with normal compliance and damage involving viscoelastic materials with long memory
ISSN: 0168-9274, 1873-5460Published: Amsterdam Elsevier B.V 01.09.2008Published in Applied numerical mathematics (01.09.2008)“…, the obstacle is assumed deformable. The mechanical damage of the material, caused by excessive stress or strain, is described by the damage function, which is modelled by a nonlinear partial differential equation…”
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Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives
ISSN: 0885-7474, 1573-7691Published: London Plenum Publishing 01.12.2002Published in Journal of scientific computing (01.12.2002)“… We review local discontinuous Galerkin methods for convection diffusion equations involving second derivatives and for KdV type equations involving third derivatives…”
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Numerical analysis and simulation of delay parabolic partial differential equation involving a small parameter
ISSN: 0264-4401, 1758-7077Published: Bradford Emerald Publishing Limited 16.01.2020Published in Engineering computations (16.01.2020)“…Purpose The purpose of this paper is to provide an efficient and robust second-order monotone hybrid scheme for singularly perturbed delay parabolic convection-diffusion initial boundary value problem…”
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Bona–Smith-Type systems in Bounded Domains with Slip-Wall Boundary Conditions: Theoretical Justification and a Conservative Numerical Scheme
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.01.2025Published in Journal of scientific computing (01.01.2025)“… We prove that, given appropriate initial conditions, the corresponding initial-boundary value problems have unique solutions locally in time, which is a fundamental property of deterministic mathematical modeling…”
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Relations among stiffness coefficients of hexahedral 8-noded finite elements: A simple and efficient way to reduce the integration time
ISSN: 0168-874X, 1872-6925Published: Amsterdam Elsevier B.V 01.08.2012Published in Finite elements in analysis and design (01.08.2012)“…Computing coefficients in stiffness matrices of finite element analysis in computational mechanics is time consuming, especially in large non-linear dynamic problems involving large meshes…”
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Analysis of Finite Element Methods and Domain Decomposition Algorithms for a Fluid-Solid Interaction Problem
ISSN: 0036-1429, 1095-7170Published: Philadelphia, PA Society for Industrial and Applied Mathematics 2001Published in SIAM journal on numerical analysis (2001)“… a boundary duality argument of Douglas and Dupont [Numer. Math., 20 (1973), pp. 213-237] to handle the terms involving the interface conditions…”
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A Geometrical-Mechanical Interpretation of Gradient-Weighted Moving Finite Elements
ISSN: 0036-1429, 1095-7170Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.02.1997Published in SIAM journal on numerical analysis (01.02.1997)“…The usual explanation of the gradient-weighted moving finite element (GWMFE) method has been in terms of its variational interpretation…”
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Mixed convolved action variational principles in heat diffusion
ISSN: 0017-9310, 1879-2189Published: Elsevier Ltd 01.09.2016Published in International journal of heat and mass transfer (01.09.2016)“…•Action is written in terms of impulsive variables and fractional derivative operators.•Governing equations, boundary and initial conditions are the Euler–Lagrange equations…”
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On evolutionary equations with material laws containing fractional integrals
ISSN: 0170-4214, 1099-1476Published: Freiburg Blackwell Publishing Ltd 01.10.2015Published in Mathematical methods in the applied sciences (01.10.2015)“…‐Voigt type model in fractional visco‐elasticity. Moreover, we elaborate a suitable perspective to deal with initial boundary value problems. Copyright © 2014 John…”
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Discrete schemes for treating hereditary problems of viscoelasticity and applications
ISSN: 0377-0427, 1879-1778Published: Amsterdam Elsevier B.V 05.11.1996Published in Journal of computational and applied mathematics (05.11.1996)“…Mathematical models for treating problems of linear viscoelasticity involving hereditary constitutive relations for compressible solids are presented, and their discretisation using finite element…”
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Journal Article Conference Proceeding -
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An explicit solution for implicit time stepping in multiplicative finite strain viscoelasticity
ISSN: 0045-7825, 1879-2138Published: Elsevier B.V 01.10.2013Published in Computer methods in applied mechanics and engineering (01.10.2013)“… The evolution equation is six dimensional and describes an incompressible flow such that the…”
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Two-layer Gravity Currents with Topography
ISSN: 0022-2526, 1467-9590Published: Boston, USA and Oxford, UK Blackwell Publishers Inc 01.04.1999Published in Studies in applied mathematics (Cambridge) (01.04.1999)“…Two‐dimensional and time‐dependent gravity currents involving the initial release of a fixed volume of heavy fluid over a gradually sloping bottom and underlying a layer of lighter fluid are considered…”
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Bona-Smith-type systems in bounded domains with slip-wall boundary conditions: Theoretical justification and a conservative numerical scheme
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 15.11.2024Published in arXiv.org (15.11.2024)“… We prove that, given appropriate initial conditions, the corresponding initial-boundary value problems have unique solutions locally in time, which is a fundamental property of deterministic mathematical modeling…”
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Mathematical models and numerical methods for the simulation of adaptive inflatable structures for impact absorption
ISSN: 0045-7949, 1879-2243Published: Elsevier Ltd 01.10.2016Published in Computers & structures (01.10.2016)“… Modelling of the solid walls is based on rigid body dynamics or initial-boundary value problem of solid mechanics…”
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