Results 11 to 20 of about 114,900,249 (260)
Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]
, 2010 A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on a small parameter and to the validity of the ...
Rüdiger Müller +11 more
core +1 more source
A priori error estimates for energy-based quasicontinuum approximations of a periodic chain [PDF]
, 2011 We derive a priori error estimates for three prototypical energy-based quasicontinuum (QC) methods: the local QC method, the energy-based QC method, and the quasi-nonlocal QC method.
Christoph Ortner +3 more
core +1 more source
A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D [PDF]
, 2010 For a next-nearest neighbour pair interaction model in a periodic domain, a priori and a posteriori analyses of the quasinonlocal quasicontinuum method (QNL-QC) are presented.
Christoph Ortner, Ortner, Christoph
core +1 more source
Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2D triangular lattice [PDF]
, 2013 We present an a priori error analysis of a practical energy based atomistic/continuum coupling method (A. V. Shapeev, Multiscale Model. Simul., 9(3):905-932, 2011) in two dimensions, for finite-range pair-potential interactions, in the presence of ...
Ortner, C. +2 more
core +1 more source
A priori error analysis of two force-based atomistic/continuum models of a periodic chain [PDF]
, 2011 The force-based quasicontinuum (QCF) approximation is a non-conservative atomistic/continuum hybrid model for the simulation of defects in crystals. We present an a priori error analysis of the QCF method, applied to a one-dimensional periodic chain ...
Makridakis , C. +9 more
core +1 more source
, 2023 We consider a semilinear boundary value problem −Δu =f(x,u), in Ω, with Dirichlet boundary conditions, where Ω ⊂ RN with N > 2, is a bounded smooth domain, and f is a Carathéodory function, superlinear and subcritical at infinity.
Pardo San Gil, Rosa María
core +1 more source
, 2020 A sceptical scenario is a situation in which your experiences are in some undetectable way unreliable guides to the truth - say, because you are being deceived by a demon (or the like).
Wedgwood, Ralph
core +1 more source
A priori estimates of solutions of superlinear problems [PDF]
, 2001 summary:In this survey we consider superlinear parabolic problems which possess both blowing-up and global solutions and we study a priori estimates of global ...
Quittner, Pavol
core +1 more source
A priori estimates for solutions of $g$-Laplace type problems [PDF]
, 2023 In this work we study a priori bounds for weak solution to elliptic problems with nonstandard growth that involves the so-called $g-$Laplace operator.
Silva, A. +2 more
core +1 more source
A priori estimates for a quadratic dNLS [PDF]
, 2023 In this work we consider integrable PDE with higher dimensional Lax pairs. Our main example is a quadratic dNLS equation with a $3 \times 3$ Lax pair. For this equation we show a-priori estimates in Sobolev spaces of negative regularity $H^s(\mathbb{R}),
Klaus, Friedrich
core +3 more sources