<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Numerical Methods | Scicho</title><link>https://SadjadAbedi.ir/tags/numerical-methods/</link><atom:link href="https://SadjadAbedi.ir/tags/numerical-methods/index.xml" rel="self" type="application/rss+xml"/><description>Numerical Methods</description><generator>Hugo Blox Builder (https://hugoblox.com)</generator><language>en-us</language><lastBuildDate>Sat, 20 Dec 2025 00:00:00 +0000</lastBuildDate><image><url>https://SadjadAbedi.ir/media/icon_hu2154990329143673713.png</url><title>Numerical Methods</title><link>https://SadjadAbedi.ir/tags/numerical-methods/</link></image><item><title>Advanced Scaled Boundary Finite Element Framework for Complex and Biological Materials</title><link>https://SadjadAbedi.ir/project/sbfem/</link><pubDate>Sat, 20 Dec 2025 00:00:00 +0000</pubDate><guid>https://SadjadAbedi.ir/project/sbfem/</guid><description>&lt;p>&lt;strong>Description&lt;/strong>
This project focuses on the development of the Scaled Boundary Finite Element Method (SBFEM) for complex material behavior, extending the classical formulation to nonlinear, viscoelastic, and anisotropic hyperelastic responses. The framework preserves the boundary-only discretization of SBFEM while enabling robust treatment of material and geometric nonlinearities.&lt;/p>
&lt;p>&lt;strong>Key Contributions&lt;/strong>&lt;/p>
&lt;ul>
&lt;li>Nonlinear SBFEM (NL-SBFEM) formulation for large deformations.&lt;/li>
&lt;li>Viscoelastic SBFEM for time-dependent material response.&lt;/li>
&lt;li>Modular material interface enabling automatic differentiation.&lt;/li>
&lt;li>Extension to anisotropic hyperelastic models for soft tissues.&lt;/li>
&lt;/ul>
&lt;p>&lt;strong>Biomechanics Focus&lt;/strong>&lt;/p>
&lt;p>The final objective is biomechanical modeling of soft tissues, particularly fiber-reinforced materials relevant to ligaments, tendons, and vascular tissues, avoiding volumetric meshing while retaining high accuracy.&lt;/p></description></item><item><title>Computational Biomechanics: Necessity, Importance, and Applications</title><link>https://SadjadAbedi.ir/event/comp_bio/</link><pubDate>Mon, 15 Dec 2025 00:00:00 +0000</pubDate><guid>https://SadjadAbedi.ir/event/comp_bio/</guid><description>&lt;!--
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&lt;/script></description></item><item><title>ICBME 2025 - Oral Presentation 1</title><link>https://SadjadAbedi.ir/event/icbme2025_1/</link><pubDate>Wed, 19 Nov 2025 00:00:00 +0000</pubDate><guid>https://SadjadAbedi.ir/event/icbme2025_1/</guid><description>&lt;!--
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Click on the &lt;strong>Slides&lt;/strong> button above to view the built-in slides feature.
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&lt;iframe src="https://docs.google.com/presentation/d/e/2PACX-1vTMgrADaq-uAWlUDRRrOPzNs1v7Iqb1SuAlKvmo_VNCi9jZeBLfXH-CAbreSsbvnwkJG2xH4s8fflh-/embed?start=false&amp;amp;loop=false&amp;amp;delayms=10000" width=100% height="400" frameborder="0" scrolling="auto" allowfullscreen="allowfullscreen">&lt;/iframe></description></item><item><title>NL-SBFEM: A pure SBFEM formulation for geometrically and materially nonlinear problems</title><link>https://SadjadAbedi.ir/publication/paper_nlsbfem/</link><pubDate>Mon, 30 Dec 2024 00:00:00 +0000</pubDate><guid>https://SadjadAbedi.ir/publication/paper_nlsbfem/</guid><description/></item><item><title>A Scaled Boundary Finite Element Formulation for Solving Plane-Strain Viscoelastic Problems</title><link>https://SadjadAbedi.ir/publication/paper_viscosbfem/</link><pubDate>Tue, 01 Nov 2022 00:00:00 +0000</pubDate><guid>https://SadjadAbedi.ir/publication/paper_viscosbfem/</guid><description/></item></channel></rss>