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Computers and Mathematics with Applications, ISSN 0898-1221, 10/2015, Volume 70, Issue 7, pp. 1425 - 1440
Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 08/2018, Volume 451, pp. 67 - 79
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2018, Volume 337, pp. 598 - 631
This study presents the weak form of peridynamic (PD) governing equations which permit the direct imposition of nonlocal essential and natural boundary... 
Peridynamic | Weak form | Nonlocal | Natural | Essential | Mechanical engineering | Analysis
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2010, Volume 199, Issue 37, pp. 2425 - 2436
Journal Article
Engineering Analysis with Boundary Elements, ISSN 0955-7997, 07/2017, Volume 80, pp. 94 - 104
Journal Article
Asymptotic Analysis, ISSN 0921-7134, 02/2016, Volume 96, Issue 3-4, pp. 251 - 281
We consider the Laplacian in a tubular neighbourhood of a hyperplane subjected to non-self-adjoint PT-symmetric Robin boundary conditions. Its spectrum is... 
essential spectrum | reality of the spectrum | weak coupling | spectral analysis | Birman-Schwinger principle | non-self-adjointness | Robin boundary conditions | waveguide | MATHEMATICS, APPLIED | HILBERT-SPACE | SCHRODINGER-OPERATORS
Journal Article
Discrete and Continuous Dynamical Systems - Series B, ISSN 1531-3492, 12/2018, Volume 23, Issue 10, pp. 4087 - 4116
This work revisits and extends in various directions a work by J.Z. Farkas and P. Hinow (Math. Biosc and Eng, 8 (2011) 503-513) on structured populations... 
Wentzell boundary condition | Asynchronous exponential growth | Essential type | Hopf’s maximum principle | Weak compactness | Structured populations | Diffusion | Hopf's maximum principle | weak compactness | MATHEMATICS, APPLIED | diffusion | EPIDEMIC MODEL | SIZE | COMPACT-OPERATORS | POSITIVE OPERATORS | essential type | asynchronous exponential growth | AGE
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 11/2017, Volume 263, Issue 9, pp. 5582 - 5609
This paper is concerned with continuous and differentiable dependence of isolated eigenvalues on the boundary conditions of self-adjoint Sturm–Liouville... 
Limit circle case | Continuous eigenvalue branch | Singular Sturm–Liouville problem | Boundary condition | Limit point case | EXISTENCE | MATHEMATICS | Singular Sturm-Liouville problem | ESSENTIAL SPECTRUM | SHALLOW-WATER EQUATION | ORDINARY DIFFERENTIAL-EQUATIONS
Journal Article
Advanced Modeling and Simulation in Engineering Sciences, ISSN 2213-7467, 12/2016, Volume 3, Issue 1, pp. 1 - 14
Inhomogeneous essential boundary conditions must be carefully treated in the formulation of Reduced Order Models (ROMs) for non-linear problems. In order to... 
Engineering | HROM | Essential boundary conditions | Theoretical and Applied Mechanics | Computational Science and Engineering | Reduced Order Models | Classical Continuum Physics | FEM
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2008, Volume 197, Issue 13, pp. 1167 - 1183
Journal Article
SIAM JOURNAL ON NUMERICAL ANALYSIS, ISSN 0036-1429, 2012, Volume 50, Issue 4, pp. 2088 - 2110
We develop a quadratic C degrees interior penalty method for linear fourth order boundary value problems with essential and natural boundary conditions of the... 
MATHEMATICS, APPLIED | discontinuous Galerkin method | APPROXIMATIONS | FINITE-ELEMENT METHODS | BIHARMONIC EQUATION | a priori error analysis | fourth order | ELLIPTIC PROBLEMS | adaptive meshes | ERROR ANALYSIS | C degrees interior penalty method | FREE-ENERGY | a posteriori error analysis | Cahn-Hilliard | essential and natural boundary conditions
Journal Article
Applied Mechanics and Materials, ISSN 1660-9336, 2012, Volume 121-126, pp. 2779 - 2783
  Isogeometric Analysis combines the NURBS technology and finite element approaches into a unified framework. Regrettably, the NURBS basis functions don't... 
Isogeometric analysis | Essential boundary condition | Stabilization parameter | Nitsche's method | NURBS
Conference Proceeding
Journal of Functional Analysis, ISSN 0022-1236, 2011, Volume 261, Issue 6, pp. 1542 - 1590
Given and , we are interested in the equation We prescribe appropriate (weighted) homogeneous boundary conditions at the origin and prove the existence and... 
Essential spectrum | Singular Sturm–Liouville | Weighted Sobolev spaces | Singular Sturm-Liouville | MATHEMATICS
Journal Article
Results in Mathematics, ISSN 1422-6383, 6/2013, Volume 63, Issue 3, pp. 1311 - 1330
We study the spectrum of singular Sturm-Liouville problems with eigenparameter dependent boundary conditions and its approximation with eigenvalues from a... 
Singular Sturm-Liouville Problems | 47E05 | essential spectrum | regular approximations | 34L05 | Mathematics, general | Mathematics | eigendependent boundary conditions | MATHEMATICS | MATHEMATICS, APPLIED | EIGENVALUE PARAMETER | Invisibility
Journal Article
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