Results 111 to 120 of about 52,764 (220)
Convergence of Galerkin approximations for operator Riccati equations: A nonlinear evolution equation approach [PDF]
An approximation and convergence theory was developed for Galerkin approximations to infinite dimensional operator Riccati differential equations formulated in the space of Hilbert-Schmidt operators on a separable Hilbert space.
Rosen, I. G.
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Application of Discontinuity Layout Optimization to Metal Shells and Assemblies
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT Discontinuity Layout Optimization (DLO) provides a computationally efficient means of determining collapse loads and associated failure mechanisms across a wide spectrum of plasticity problems. The classical DLO method has focused separately on in‐plane and out‐of‐plane plasticity.
John Valentino +2 more
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Results in Applied MathematicsIn this paper, we study the Galerkin method for obtaining approximate solutions to linear Fredholm integral equations of the second kind. The finite element solution is represented as a linear combination of basis functions, and the construction of ...
Samandar Babaev +4 more
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Uniform stability of linear multistep methods in Galerkin procedures for parabolic problems
International Journal of Mathematics and Mathematical Sciences, 1979 Linear multistep methods are considered which have a stability region S and are D-stable on the whole boundary ∂S⊂S of S. Error estimates are derived which hold uniformly for the class of initial value problems Y′=AY+B(t), t>0, Y(0)=Y0 with normal matrix
Eckart Gekeler
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu +4 more
wiley +1 more source
MathematicsOver the last two decades, meshfree Galerkin methods have become increasingly popular in solid and fluid mechanics applications. A variety of these methods have been developed, each incorporating unique meshfree approximation schemes to enhance their ...
Hongtao Yang, Hao Wang, Bo Li
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MathematicsThe subject of this study is a nonlinear viscoelastic plate equation with variable exponents and a general source term. Through the application of the Faedo–Galerkin approximation method and a fixed point theorem under appropriate assumptions, we proved ...
Youcef Bouizem +2 more
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AxiomsIn this paper, we consider a viscoelastic Kirchhoff equation with a delay term in the internal feedback. By using the Faedo–Galerkin approximation method, we prove the well posedness of the global solutions.
Noureddine Sebih +3 more
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Optimized approximation space for Trefftz-discontinuous Galerkin methods
, 2015 Helmholtz equation is classically encountered when modelling waves and vibrations. The numerical approximation of its solution is complex because of the generally small characteristic wavelength and of the potential sign-indefinition [1] which imply to use adapted formulations. The Trefftz-discontinuous Galerkin methods [2] are characterized by the use
Gosselet, Pierre, Kovalevsky, Louis
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Galerkin approximations of nonlinear optimal control problems in Hilbert spaces
Electronic Journal of Differential Equations, 2017 Nonlinear optimal control problems in Hilbert spaces are considered for which we derive approximation theorems for Galerkin approximations. Approximation theorems are available in the literature.
Mickael D. Chekroun +2 more
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