Search Results - numerical methods for eigenvalue problems for boundary value problems involving des

Bounds evaluation for outputs of eigenvalue problems approximated by the overlapping modal synthesis method

Authors: Isabelle Charpentier Yvon Maday Anthony T. Patera

Source: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 329:909-914

Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, eigenvalue problems, upper and lower bounds, 0211 other engineering and technologies, Estimates of eigenvalues in context of PDEs, 02 engineering and technology, numerical results, overlapping modal synthesis method

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Access URL: http://ui.adsabs.harvard.edu/abs/1999CRASM.329..909C/abstract
https://www.sciencedirect.com/science/article/pii/S0764444200874984
http://www.sciencedirect.com/science/article/pii/S0764444200874984
https://www.sciencedirect.com/science/article/pii/S0764444200874984#!

Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems

Authors: Ροβας Δημητριος(http://users.isc.tuc.gr/~drovas) Rovas Dimitrios(http://users.isc.tuc.gr/~drovas) Pateras, Anthony, 1979-(http://viaf.org/viaf/5182457) et al.

Source: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 331:153-158

Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, convergence, Greek mathematics,mathematics greek,greek mathematics, Error bounds for boundary value problems involving PDEs, Estimates of eigenvalues in context of PDEs, symmetric eigenvalue problem, error bounds, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, numerical results, 01 natural sciences, reduced-basis output bound method, Boundary value problems for second-order elliptic equations, Numerical solutions to equations with linear operators, Eigenvalue problems for linear operators, 0101 mathematics

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Access URL: https://zbmath.org/1517133
https://doi.org/10.1016/s0764-4442(00)00270-6
https://ui.adsabs.harvard.edu/abs/2000CRASM.331..153M/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0764444200002706
http://purl.tuc.gr/dl/dias/A3F5A8EC-A6F5-458E-BE8F-E9E1737BCD33

Sufficient conditions of non‐uniqueness for the Coulomb friction problem: Sufficient conditions of non-uniqueness for the Coulomb friction problem

Authors: Hassani, Riad Hild, Patrick Ionescu, Ioan et al.

Contributors: Hassani, Riad Hild, Patrick Ionescu, Ioan et al.

Source: Mathematical Methods in the Applied Sciences. 27:47-67

Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, Uniqueness of solutions of equilibrium problems in solid mechanics, finite element approximation, 16. Peace & justice, Contact in solid mechanics, 01 natural sciences, Signorini problem, Friction in solid mechanics, Multiplicity of solutions of equilibrium problems in solid mechanics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], real eigenvalues, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics

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Access URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.438/abstract
http://ui.adsabs.harvard.edu/abs/2004MMAS...27...47H/abstract
http://onlinelibrary.wiley.com/doi/10.1002/mma.438/pdf
https://hal.science/hal-04090894v1/document
https://hal.science/hal-04090894v1
https://doi.org/10.1002/mma.438

On the numerical solution of the eigenvalue problem of the laplace operator by a capacitance matrix method: On the numerical solution of the eigenvalue problem of the Laplace operator by a capacitance matrix method

Authors: Proskurowski, Wlodzimierz.

Source: Computing. 20:139-151

Subject Terms: Numerical Solution, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Discrete Helmholtz Equation, Iterative Block Lanczos Method, Laplace Operator, Estimates of eigenvalues in context of PDEs, Capacitance Matrix Method, 0101 mathematics, 01 natural sciences, Eigenvalue Problem, Interior Dirichlet Problem

File Description: application/xml; application/pdf

Access URL: https://escholarship.org/content/qt7qf3n342/qt7qf3n342.pdf?t=p21nhx
https://zbmath.org/3624739
https://doi.org/10.1007/bf02252343
https://dblp.uni-trier.de/db/journals/computing/computing20.html#Proskurowski78
https://escholarship.org/uc/item/7qf3n342
https://link.springer.com/article/10.1007%2FBF02252343
https://escholarship.org/content/qt7qf3n342/qt7qf3n342.pdf?t=p21nhx
https://escholarship.org/uc/item/7qf3n342

On the Schwarz alternating method for eigenvalue problems

Authors: S. Yu. Maliassov

Source: Russian Journal of Numerical Analysis and Mathematical Modelling. 13

Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, convergence, algorithm, eigenvalue problems, Estimates of eigenvalues in context of PDEs, Reyleigh quotient, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 01 natural sciences, domain decomposition, finite elements, 0101 mathematics, Schwarz alternating method

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Access URL: http://conservancy.umn.edu/bitstream/11299/3031/1/1452.pdf
https://conservancy.umn.edu/handle/11299/3031
https://conservancy.umn.edu/bitstream/11299/3031/1/1452.pdf
https://www.degruyter.com/document/doi/10.1515/rnam.1998.13.1.45/html

An Extended Separation-of-Variable Method for Free Vibration of Rectangular Mindlin Plates.

Authors: Li, Gen Xing, Yufeng Wang, Zekun

Source: International Journal of Structural Stability & Dynamics; Oct2021, Vol. 21 Issue 11, p1-32, 32p

Subject Terms: RECTANGLES, FREE vibration, EIGENVALUE equations, BOUNDARY value problems, MODE shapes, PLATING baths

Reduced Multiplicative (BURA-MR) and Additive (BURA-AR) Best Uniform Rational Approximation Methods and Algorithms for Fractional Elliptic Equations.

Authors: Harizanov, Stanislav Kosturski, Nikola Lirkov, Ivan et al.

Source: Fractal & Fractional; Sep2021, Vol. 5 Issue 3, p1-22, 22p

Subject Terms: ELLIPTIC equations, PARTIAL differential equations, BOUNDARY value problems, FINITE element method, NUMERICAL analysis

Eigenvalue problems, spectral parameter power series, and modern applications.

Authors: Khmelnytskaya, Kira V. Kravchenko, Vladislav V. Rosu, Haret C.

Source: Mathematical Methods in the Applied Sciences; Jul2015, Vol. 38 Issue 10, p1945-1969, 25p

Subject Terms: EIGENVALUES, POWER series, STURM-Liouville equation, SCHRODINGER equation, FLOQUET'S theorem, BOUNDARY value problems

HIGH-FREQUENCY BOUNDS FOR THE HELMHOLTZ EQUATION UNDER PARABOLIC TRAPPING AND APPLICATIONS IN NUMERICAL ANALYSIS.

Authors: CHANDLER-WILDE, S. N. SPENCE, E. A. GIBBS, A. et al.

Source: SIAM Journal on Mathematical Analysis; 2020, Vol. 52 Issue 1, p845-893, 49p

Subject Terms: HELMHOLTZ equation, NUMERICAL analysis, RESOLVENTS (Mathematics), BOUNDARY element methods, BOUNDARY value problems, TRAPPING, FINITE element method

Über die reguläre Konvergenz der Differenzenapproximationen des Dirichletschen Problems

Authors: Tamme, E.

Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs

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Access URL: https://zbmath.org/3553696

From discrete to continuum modelling of boundary value problems in geomechanics: An integrated FEM‐DEM approach.

Authors: Desrues, Jacques Argilaga, Albert Caillerie, Denis et al.

Source: International Journal for Numerical & Analytical Methods in Geomechanics; 4/10/2019, Vol. 43 Issue 5, p919-955, 37p

Subject Terms: BOUNDARY value problems, MATHEMATICAL continuum, DISCRETE element method

Construction and application of Bergman-type reproducing kernels for boundary and eigenvalue problems in the plane.

Authors: Campos, Hugo M. Castillo-Pérez, Raúl Kravchenko, Vladislav V.

Source: Complex Variables & Elliptic Equations; 2012, Vol. 57 Issue 7/8, p787-824, 38p

Subject Terms: BERGMAN kernel functions, BOUNDARY value problems, EIGENVALUES, ELLIPTIC operators, COEFFICIENTS (Statistics), FUNCTIONAL analysis, RECURSIVE functions

Un cadre général pour l'obtention de bornes a posteriori sur des résultats en sortie d'équations aux dérivées partielles; application aux problèmes de valeurs propres

Authors: Maday, Yvon Patera, Anthony T. Peraire, Jaume

Subject Terms: lower and upper bounds, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Error bounds for boundary value problems involving PDEs, finite element, eigenvalue problem, eigenvectors, Estimates of eigenvalues in context of PDEs, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Helmholtz equation, elliptic partial differential equations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, numerical results, Burgers equation

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Access URL: https://zbmath.org/1334170

La méthode de Galerkin. Ordre de convergence des éléments propres

Authors: Chatelin, Francoise

Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, General theory of numerical analysis in abstract spaces, Variational methods for eigenvalues of operators, Riesz operators, eigenvalue distributions, approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators

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Access URL: https://zbmath.org/3449713

Stress analysis of 3D complex geometries using the scaled boundary polyhedral finite elements.

Authors: Talebi, Hossein Saputra, Albert Song, Chongmin

Source: Computational Mechanics; Oct2016, Vol. 58 Issue 4, p697-715, 19p

Subject Terms: STRAINS & stresses (Mechanics), BOUNDARY value problems, FINITE element method, NUMERICAL grid generation (Numerical analysis), AUTOMATION

Apriorische Fehlerabschätzungen des Ritzschen Verfahrens im Eigenwertproblem entartender elliptischer Operatoren höherer Ordnung

Authors: Saposnikova, T. O.

Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Estimates of eigenvalues in context of PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

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Access URL: https://zbmath.org/3490396

Eine neue Prozedur des Abbrechens im Bazley-Fox-Verfahren

Authors: Poznjak, L. T.

Subject Terms: Variational methods for second-order elliptic equations, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Estimates of eigenvalues in context of PDEs, General theory of numerical analysis in abstract spaces, Variational methods for eigenvalues of operators

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Access URL: https://zbmath.org/3560630

On the higher eigenvalues for the-eigenvalue problem.

Authors: Juutinen, Petri Lindqvist, Peter

Source: Calculus of Variations & Partial Differential Equations; Jun2005, Vol. 23 Issue 2, p169-192, 24p

Subject Terms: EIGENVALUES, EIGENFUNCTIONS, MATRICES (Mathematics), NUMERICAL solutions to boundary value problems, EUCLID'S elements, LAPLACE transformation

Asymptotische Abschätzungen der Konvergenz des Ritzschen Verfahrens in Eigenwertproblemen

Authors: Saposnikova, T. O.

Subject Terms: Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Estimates of eigenvalues in context of PDEs, Variational methods for eigenvalues of operators

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Access URL: https://zbmath.org/3485144

Application de la théorie des représentations dans certains domaines sans symétrie classique

Authors: Chan, Sang-Lung

Subject Terms: Applications of group representations to physics and other areas of science, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Boundary value problems for second-order elliptic equations, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, General theory of difference equations

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Access URL: https://zbmath.org/3465542