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Filtering by: Contributor Sarkis-Martins, Marcus Unit (Department) Mathematical Sciences

1. Quasi-Static Griffith Fracture Evolution with Boundary Loads

Keyword:: Energy Drops, Boundary Loads, Free Discontinuity Problem, Quasi-Static Fracture Evolution, and Neumann Boundary Conditions
Creator:: Yousefi, Pooya
Advisor:: Larsen, Christopher J.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2023-05-01
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

2. High-order numerical methods for integral fractional Laplacian: algorithm and analysis

Keyword:: stability, regularity, convergence, fractional laplacian, spectral method, and finite difference method
Creator:: Hao, Zhaopeng
Advisor:: Zhang, Zhongqiang
Publisher:: Worcester Polytechnic Institute
Date Created:: 2020-04-30
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

3. Some Problems in the Mathematics of Fracture: Paths From Front Kinetics and a Level Set Method

Keyword:: variational fracture crack fronts level set
Creator:: Richardson, Casey Lyndale
Advisor:: Larsen, Christopher J.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2008-04-25
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

4. Nonlinear Solvers For Plasticity Problems

Keyword:: elastoviscoplasticity
Creator:: Kohengadol, Roni A
Advisor:: Sarkis-Martins, Marcus
Publisher:: Worcester Polytechnic Institute
Date Created:: 2004-04-08
Resource Type:: Thesis
Degree:: MS
Unit (Department):: Mathematical Sciences

5. Bayesian Nonparametric Models for Multi-Stage Sample Surveys

Keyword:: nonparametric procedure, Bayes factor, robustness, sample survey, posterior propriety, Small Area Estimation, and Dirichlet process
Creator:: Yin, Jiani
Advisor:: Nandram, Balgobin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2016-04-27
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

6. 3D Multi-Physics MRI-Based Human Right Ventricle Models for Patients with repaired Tetralogy of Fallot: Cardiac Mechanical Analysis and Surgical Outcome Prediction

Keyword:: heart model, Tetralogy of Fallot, pulmonary valve replacement, Right Ventricle, and congenital heart disease
Creator:: Zuo, Heng
Advisor:: Tang, Dalin
Publisher:: Worcester Polytechnic Institute
Date Created:: 2017-04-22
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

7. Quasi-static Fracture Evolution with Cohesive Energy

Keyword:: Quasi-static Evolution, SBV functions, Fracture Mechanics, and Cohesive Energy
Creator:: Li, Yiqing
Advisor:: Larsen, Christopher J.
Publisher:: Worcester Polytechnic Institute
Date Created:: 2016-07-19
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

8. A multifrequency method for the solution of the acoustic inverse scattering problem

Keyword:: Inverse problems and Numerical Methods
Creator:: Borges, Carlos
Advisor:: Sarkis-Martins, Marcus
Publisher:: Worcester Polytechnic Institute
Date Created:: 2013-01-08
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

9. Preferred Frequencies for Coupling of Seismic Waves and Vibrating Tall Buildings

Keyword:: Helmholtz Equation, City-effect, and Periodic Green's function
Creator:: Zheltukhin, Sergey
Advisor:: Volkov, Darko
Publisher:: Worcester Polytechnic Institute
Date Created:: 2013-08-27
Resource Type:: Dissertation
Degree:: PhD
Unit (Department):: Mathematical Sciences

10. An Adaptive Mixed Finite Element Method using the Lagrange Multiplier Technique

Keyword:: a posteriori error estimate, adaptive, lagrange multiplier, Finite Element Method, and mesh refinement
Creator:: Gagnon, Michael Anthony
Advisor:: Sarkis-Martins, Marcus
Publisher:: Worcester Polytechnic Institute
Date Created:: 2009-05-04
Resource Type:: Report
Degree:: MS
Unit (Department):: Mathematical Sciences