Keywords: Discretization Methods (3)

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Computational Geometry, Spring 2003

Computational Geometry, Spring 2003

Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, ... (more)

Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees. Robustness of geometric computations. Interval methods. Finite and boundary element discretization methods for continuum mechanics problems. Scientific visualization. Variational geometry. Tolerances. Inspection methods. Feature representation and recognition. Shape interrogation for design, analysis, and manufacturing. Involves analytical and programming assignments. (less)

Subject:
Science and Technology
Material Type:
Full Course
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Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Patrikalakis, Nicholas
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Computational Geometry, Spring 2003

Computational Geometry, Spring 2003

Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, ... (more)

Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees. Robustness of geometric computations. Interval methods. Finite and boundary element discretization methods for continuum mechanics problems. Scientific visualization. Variational geometry. Tolerances. Inspection methods. Feature representation and recognition. Shape interrogation for design, analysis, and manufacturing. Involves analytical and programming assignments. (less)

Subject:
Science and Technology
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Patrikalakis, Nicholas
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Introduction to Numerical Simulation (SMA 5211), Fall 2003

Introduction to Numerical Simulation (SMA 5211), Fall 2003

Introduction to computational techniques for the simulation of a large variety of ... (more)

Introduction to computational techniques for the simulation of a large variety of engineering and engineered systems. Applications drawn from aerospace, mechanical, electrical, and chemical engineering, materials science, and operations research. Topics: mathematical formulations; network problems; sparse direct and iterative matrix solution techniques; Newton methods for nonlinear problems; discretization methods for ordinary and partial differential equations; methods for the solution of integral equations; model-order reduction; and Monte Carlo techniques. An introduction to computational techniques for the simulation of a large variety of engineering and physical systems. Applications are drawn from aerospace, mechanical, electrical, chemical and biological engineering, and materials science. Topics include: mathematical formulations; network problems; sparse direct and iterative matrix solution techniques; Newton methods for nonlinear problems; discretization methods for ordinary, time-periodic and partial differential equations, fast methods for partial differential and integral equations, techniques for dynamical system model reduction and approaches for molecular dynamics. (less)

Subject:
Science and Technology
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
White, Jacob
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2002 llaF ,gnivloS melborP gnireenignE dna sretupmoC ot noitcudortnI

2002 llaF ,gnivloS melborP gnireenignE dna sretupmoC ot noitcudortnI

.desu si egaugnal gnimmargorp avaJ ehT .gninnalp dna ,tnemeganam ,ecneics ,gnireenigne ni ... (more)

.desu si egaugnal gnimmargorp avaJ ehT .gninnalp dna ,tnemeganam ,ecneics ,gnireenigne ni smelborp gnivlos rof seuqinhcet gnipoleved no si sisahpmE .scipot decnavda detceles dna scihparg retupmoc ,gnihcraes dna gnitros ,serutcurts atad ,sdohtem laciremun ,secafretni resu lacihparg ,stpecnoc gnimmargorp revoc smelborp gnimmargorp ylkeeW .esruoc eht fo sucof eht si tnempoleved dna ngised erawtfos detneiro-tcejbO .snoitacilppa cifitneics dna gnireenigne rof sdohtem lanoitatupmoc dna tnempoleved erawtfos latnemadnuf stneserp esruoc sihT (less)

Subject:
Science and Technology
Material Type:
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
George Kocur
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