Results 91 to 100 of about 142 (134)

Hybrid Equilibrium Element Formulation for Large Displacement Nonlinear Elasticity

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT The present paper proposes an equilibrium‐based finite element formulation for the analysis of large displacement and large strain nonlinear elasticity problems. The proposed formulation is based on the Hybrid Equilibrium Element (HEE) and is developed in an updated Lagrangian framework.
Francesco Parrinello, Simona Lo Franco, Guido Borino   +2 more
wiley   +1 more source

Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei, Greta Ongaro, Alexander Hermann, Stewart A. Silling, Patrizia Trovalusci, Christian J. Cyron   +5 more
wiley   +1 more source

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An inverse nodal problem for integro-differential operators

Journal of Inverse and Ill-Posed Problems, 2010
Abstract The inverse nodal problem of recovering integral-differential operators with the Sturm–Liouville differential part and the integral part of Volterra type is studied. We reconstruct the potential and the boundary conditions provided the kernel of integral perturbation is known.
Chung-Tsun Shieh
exaly   +2 more sources

Solution of inverse nodal problems

Inverse Problems, 1989
We show that the coefficients in a second-order differential equation can be determined from the positions of the nodes for the eigenfunctions. We prove uniqueness results, derive approximate solutions, give error bounds and present numerical experiments.
Hald, Ole H., McLaughlin, Joyce R.
openaire   +2 more sources

Inverse nodal problems for singular problems in the half-line

Boletín de la Sociedad Matemática Mexicana, 2023
In this paper, an inverse problem for a singular ordinary differential equation in the half-line is considered. The authors consider a class of positive weights \(\sigma\in L^{1}([0,\infty])\) with \(\int_{0}^{\infty}t\sigma(t ...
Martina Oviedo, Juan Pablo Pinasco
openaire   +2 more sources

Approximate solutions of inverse nodal problem with conformable derivative

2023
Summary: Our research is about the Sturm-Liouville equation which contains conformable fractional derivatives of order \(\alpha \in (0,1]\) in lieu of the ordinary derivatives. First, we present the eigenvalues, eigenfunctions, and nodal points, and the properties of nodal points are used for the reconstruction of an integral equation.
Akbarpoor, Shahrbanoo, Dabbaghian, Abdol
openaire   +2 more sources

On the well-posedness of the inverse nodal problem

Inverse Problems, 2001
Let \(x_k^{(n ...
Law, C. K., Tsay, Jhishen
openaire   +1 more source

The inverse nodal problem for Hill's equation

Inverse Problems, 2006
Summary: We study the inverse nodal problem for Hill's equation. In particular, we solve the uniqueness, reconstruction and stability problems using the nodal set of periodic (or anti-periodic) eigenfunctions. Furthermore, we show that the space of periodic potential functions \(q\) normalized by \(\int^{1}_{0} q = 0\) is homeomorphic to the partition ...
Cheng, Y. H., Law, C. K.
openaire   +1 more source

The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2009
We study the issues of the reconstruction and stability of the inverse nodal problem for the one-dimensional p-Laplacian eigenvalue problem. A key step is the application of a modified Prüfer substitution to derive a detailed asymptotic expansion for the eigenvalues and nodal lengths. Two associated Ambarzumyan problems are also solved.
Law, C. K., Lian, Wei-Cheng, Wang, Wei-Chuan   +2 more
openaire   +1 more source

A uniqueness theorem for inverse nodal problem

Inverse Problems in Science and Engineering, 2007
In this article, it is found that the asymptotic formulas for nodal points and nodal length for the differential operators having singularity type at the points 0 and π, it is shown that the potential function can be determined from the positions of the nodes for the eigenfunctions.
Hikmet Koyunbakan, Etibar S. Panakhov
openaire   +1 more source