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Numerische Mathematik, ISSN 0029-599X, 2015, Volume 130, Issue 1, pp. 151 - 197
We derive a new a posteriori error estimator for the Signorini problem. It generalizes the standard residual-type estimators for unconstrained problems in... 
35J86 | 65N15 | 74G15 | 74S05 | 65N30 | VARIATIONAL-INEQUALITIES | ELASTICITY | MATHEMATICS, APPLIED | ELLIPTIC OBSTACLE PROBLEMS | CONTACT PROBLEMS
Journal Article
Numerische Mathematik, ISSN 0029-599X, 7/2019, Volume 142, Issue 3, pp. 465 - 523
Journal Article
Numerische Mathematik, ISSN 0029-599X, 5/2018, Volume 139, Issue 1, pp. 93 - 120
Journal Article
Journal Article
Applicable Analysis, ISSN 0003-6811, 04/2019, Volume 98, Issue 6, pp. 1085 - 1103
We consider numerical analysis of a variational problem arising from materials science. The target functional is a type of Euler's elastica energy that is... 
74G15 | obstacle problem | elastica | convergence | 74G65 | Euler's elastica energy | finite difference method | Euler’s elastica energy | (Formula presented.)-convergence | EXISTENCE | MATHEMATICS, APPLIED | APPROXIMATION | REGULARITY | CURVES | Materials science | Numerical analysis | Adhesive strength | Euler-Lagrange equation | Convergence | Elastica
Journal Article
Journal of Elasticity, ISSN 0374-3535, 3/2018, Volume 131, Issue 1, pp. 1 - 17
Journal Article
International Journal of Solids and Structures, ISSN 0020-7683, 2011, Volume 48, Issue 6, pp. 874 - 883
This paper provides examples of the numerical solution of boundary-value problems in nonlinear magnetoelasticity involving finite geometry based on the... 
74G15 | 74F15 | Magnetoelasticity | Finite deformation | Numerical solution | Boundary-value problems | 74B20 | Nonlinear elasticity | MAGNETORHEOLOGICAL ELASTOMERS | MECHANICS | RUBBER-LIKE SOLIDS | DEFORMATIONS | MAGNETIC-FIELD | COMPOSITES | MODEL | Magnetic fields | Boundary value problems | Deformation | Mathematical analysis | Blocking | Shear stress | Nonlinearity | Mathematical models
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2019, Volume 2019, Issue 1, pp. 1 - 15
Journal Article
International Journal of Computer Mathematics, ISSN 0020-7160, 05/2017, Volume 94, Issue 5, pp. 933 - 945
This paper proposes a mathematical method to solve the equilibrium equations of a membrane with rigid and cable boundaries for the so-called prestressing... 
74G15 | cable boundary | 74S05 | finite element | Membrane | 74S20 | finite difference | 35J25 | rigid boundary | elliptic problem | MATHEMATICS, APPLIED | MASONRY DOMES | VAULTS | Mathematical problems | Equilibrium | Membranes | Mathematical analysis | Equilibrium equations | Mathematical models | Boundaries | Curvature | Finite difference method | Cables
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 2/2017, Volume 68, Issue 1, pp. 1 - 18
A 2D elastic problem for a body containing a set of bulk and thin rigid inclusions of arbitrary shapes is considered. It is assumed that rigid inclusions are... 
35J50 | 74S05 | 65N38 | Bulk rigid inclusion | 35Q74 | Theoretical and Applied Mechanics | FEM | Engineering | 74G15 | Mathematical Methods in Physics | 74E05 | Thin rigid inclusion | Variational approach | Numerical algorithm | STRESS-CONCENTRATION | MATHEMATICS, APPLIED | CAVITIES | FIELD | CRACK | LINE INCLUSION | Algorithms
Journal Article
Afrika Matematika, ISSN 1012-9405, 6/2018, Volume 29, Issue 3, pp. 435 - 449
In this article, our main motivation is to present two-step with memory iterative methods for solving nonlinear equations. We attempted to convert the existing... 
74G15 | 34G20 | With memory scheme | Mathematics, general | Mathematics Education | Iterative method | Mathematics | History of Mathematical Sciences | Applications of Mathematics | Computational efficiency | Hermite interpolation polynomial | Numerical result
Journal Article
Advances in Computational Mathematics, ISSN 1019-7168, 8/2016, Volume 42, Issue 4, pp. 995 - 1012
Journal Article
Electronic Journal of Statistics, ISSN 1935-7524, 2018, Volume 12, Issue 1, pp. 851 - 889
We derive explicit bounds for the computation of normalizing constants Z for log-concave densities pi = e(-U)/Z w.r.t. the Lebesgue measure on R-d . Our... 
Annealed importance sampling | Bayes factor | Normalizing constants | Unadjusted langevin algorithm | STATISTICS & PROBABILITY | annealed importance sampling | Unadjusted Langevin Algorithm | FREE-ENERGY | Methodology | Applications | Statistics | Statistics Theory
Journal Article