A posteriori error control for discontinuous Galerkin methods for parabolic problems
We derive energy-norm a posteriori error bounds for an Euler time-stepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems.
Emmanuil H. Georgoulis +4 more
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Space-time adaptive finite elements for nonlocal parabolic variational inequalities [PDF]
This article considers the error analysis of finite element discretizations and adaptive mesh refinement procedures for nonlocal dynamic contact and friction, both in the domain and on the boundary. For a large class of parabolic variational inequalities
Gimperlein, Heiko, Stocek, Jakub
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A quoi sert la modalisation a posteriori ?
This paper explores Paul Larreya’s concept of a posteriori modalisation. We first come back on Larreya’s distinction between a priori and a posteriori modalisation and suggest that his typology of the uses and functions of a posteriori modalisation ...
Grégory Furmaniak
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MATRIX-VECTOR ALGORITHMS OF LOCAL POSTERIORI INFERENCE IN ALGEBRAIC BAYESIAN NETWORKS ON QUANTA PROPOSITIONS [PDF]
Posteriori inference is one of the three kinds of probabilistic-logic inferences in the probabilistic graphical models theory and the base for processing of knowledge patterns with probabilistic uncertainty using Bayesian networks. The paper deals with a
A. A. Zolotin +2 more
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An a posteriori error analysis of a mixed finite element Galerkin approximation to second order linear parabolic problems [PDF]
In this article, a posteriori error estimates are derived for a mixed finite element Galerkin approximation to second order linear parabolic initial and boundary value problems. Using mixed elliptic reconstruction method, a posteriori error estimates in $
Memon, S., Nataraj, N., Pani, A. K.
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Rigorous a-posteriori analysis using numerical eigenvalue bounds in a surface growth model
In order to prove numerically the global existence and uniqueness of smooth solutions of a fourth order, nonlinear PDE, we derive rigorous a-posteriori upper bounds on the supremum of the numerical range of the linearized operator. These bounds also have
Blömker, Dirk, Nolde, Christian
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Reliable a-posteriori error estimators for $hp$-adaptive finite element approximations of eigenvalue/eigenvector problems [PDF]
We present reliable a-posteriori error estimates for $hp$-adaptive finite element approximations of eigenvalue/eigenvector problems. Starting from our earlier work on $h$ adaptive finite element approximations we show a way to obtain reliable and ...
Giani, Stefano +2 more
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A Posteriori Probabilistic Bounds of Convex Scenario Programs with Validation Tests
Scenario programs have established themselves as efficient tools towards decision-making under uncertainty. To assess the quality of scenario-based solutions a posteriori, validation tests based on Bernoulli trials have been widely adopted in practice ...
Shang, Chao, You, Fengqi
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A Comparative Study of the Epistemological Foundations of the Critique of Metaphysics in the Philosophical Thoughts of Kant and Carnap [PDF]
Metaphysics has a long-standing history in philosophy. Although it does not date back as far as philosophy itself, it has always been a fundamental part of philosophical systems and is regarded as "first philosophy", the highest domain of rational ...
Amin Navakhti Moghaddam
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A-posteriori existence in adaptive computations [PDF]
This short note demonstrates that it is not necessary to assume the existence of exact solutions in an a-posteriori error analysis. If the residual of a stable numerical solution is sufficiently small there exists a nearby exact solution for which an a ...
Ortner, Christoph
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