A coupled analytical–FE hybrid approach for elastostatics
Sign Up to like & getrecommendations! Published in 2020 at "Meccanica"
DOI: 10.1007/s11012-020-01254-7
Abstract: Beginning with augmentation of experimental boundary-data with numerical methods in early hybrid methods (HMs), HMs have evolved in various states of hybridization amalgamating combinations of theoretical, numerical and experimental analysis techniques. In this work, an… read more here.
Keywords: coupled analytical; approach elastostatics; hybrid approach; analytical hybrid ... See more keywords
Missing boundary data recovery using Nash games: the Stokes system
Sign Up to like & getrecommendations! Published in 2017 at "Numerical Algorithms"
DOI: 10.1007/s11075-017-0400-3
Abstract: We consider the Cauchy-Stokes problem. We use a new method based on Nash game theory to recover the missing velocity and normal stress on some inaccessible part of the boundary. This method is used with… read more here.
Keywords: data recovery; using nash; missing boundary; boundary data ... See more keywords
Networks of pipelines for gas with nonconstant compressibility factor: stationary states
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-016-0383-z
Abstract: For the management of gas transportation networks, it is essential to know how the stationary states of the system are determined by the boundary data. The isothermal Euler equations are an accurate pde-model for the… read more here.
Keywords: compressibility factor; stationary states; gas; boundary data ... See more keywords
Identification of a multi-dimensional space-dependent heat source from boundary data
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.09.029
Abstract: We investigate the linear but ill-posed inverse problem of determining a multi-dimensional space-dependent heat source in the parabolic heat equation from Cauchy boundary data. This model is important in practical applications where the distribution of… read more here.
Keywords: dependent heat; space dependent; multi dimensional; boundary data ... See more keywords
Numerical investigation of skipping stones using a hybrid volume of fluids and boundary data immersion method
Sign Up to like & getrecommendations! Published in 2024 at "Physics of Fluids"
DOI: 10.1063/5.0185661
Abstract: Water skipping is a common physical phenomenon that represents a complex multiphase fluid–structure coupling problem involving a gas, liquid, and solid. This phenomenon is observed in various scenarios, such as seaplane landings, the entry and… read more here.
Keywords: method; disk; data immersion; water ... See more keywords
On optimality and bounds for internal solutions generated from boundary data-driven Gramians
Sign Up to like & getrecommendations! Published in 2025 at "Inverse Problems"
DOI: 10.1088/1361-6420/ae0fbe
Abstract: We consider the computation of internal solutions for a time domain plasma wave equation with unknown coefficients from the data obtained by sampling its transfer function at the boundary. The computation is performed by transforming… read more here.
Keywords: optimality bounds; bounds internal; boundary data; data driven ... See more keywords
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data
Sign Up to like & getrecommendations! Published in 2025 at "Boundary Value Problems"
DOI: 10.1186/s13661-025-02022-w
Abstract: In the present work, we solve the Dirichlet boundary problem for the Helmholtz equation in an exterior angle with periodic boundary data. We prove the existence and uniqueness of solution in an appropriate functional class… read more here.
Keywords: problem helmholtz; angle periodic; boundary data; periodic boundary ... See more keywords
A Spacetime RBF-Based DNNs for Solving Unsaturated Flow Problems
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DOI: 10.3390/math12182940
Abstract: This study presents a novel approach for modeling unsaturated flow using deep neural networks (DNNs) integrated with spacetime radial basis functions (RBFs). Traditional methods for simulating unsaturated flow often face challenges in computational efficiency and… read more here.
Keywords: unsaturated flow; solving unsaturated; spacetime rbfs; boundary data ... See more keywords