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2.094 Finite Element Analysis of Solids and Fluids (MIT) 2.094 Finite Element Analysis of Solids and Fluids (MIT)

Description

This course presents finite element theory and methods for general linear and nonlinear analyses. Reliable and effective finite element procedures are discussed with their applications to the solution of general problems in solid, structural, and fluid mechanics, heat and mass transfer, and fluid-structure interactions. The governing continuum mechanics equations, conservation laws, virtual work, and variational principles are used to establish effective finite element discretizations and the stability, accuracy, and convergence are discussed. The homework and the student-selected term project using the general-purpose finite element analysis program ADINA are important parts of the course. This course presents finite element theory and methods for general linear and nonlinear analyses. Reliable and effective finite element procedures are discussed with their applications to the solution of general problems in solid, structural, and fluid mechanics, heat and mass transfer, and fluid-structure interactions. The governing continuum mechanics equations, conservation laws, virtual work, and variational principles are used to establish effective finite element discretizations and the stability, accuracy, and convergence are discussed. The homework and the student-selected term project using the general-purpose finite element analysis program ADINA are important parts of the course.

Subjects

linear static analysis | linear static analysis | solids | solids | structures | structures | nonlinear static analysis | nonlinear static analysis | heat transfer | heat transfer | fluid flows | fluid flows | finite element methods | finite element methods | ADINA | ADINA | student work | student work | beams | beams | plates | plates | shells | shells | displacement | displacement | conduction | conduction | convection | convection | radiation | radiation | Navier-Stokes | Navier-Stokes | incompressible fluids | incompressible fluids | acoustic fluids | acoustic fluids

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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2.094 Finite Element Analysis of Solids and Fluids II (MIT) 2.094 Finite Element Analysis of Solids and Fluids II (MIT)

Description

This course presents finite element theory and methods for general linear and nonlinear analyses. Reliable and effective finite element procedures are discussed with their applications to the solution of general problems in solid, structural, and fluid mechanics, heat and mass transfer, and fluid-structure interactions. The governing continuum mechanics equations, conservation laws, virtual work, and variational principles are used to establish effective finite element discretizations and the stability, accuracy, and convergence are discussed. The homework and the student-selected term project using the general-purpose finite element analysis program ADINA are important parts of the course. This course presents finite element theory and methods for general linear and nonlinear analyses. Reliable and effective finite element procedures are discussed with their applications to the solution of general problems in solid, structural, and fluid mechanics, heat and mass transfer, and fluid-structure interactions. The governing continuum mechanics equations, conservation laws, virtual work, and variational principles are used to establish effective finite element discretizations and the stability, accuracy, and convergence are discussed. The homework and the student-selected term project using the general-purpose finite element analysis program ADINA are important parts of the course.

Subjects

linear static analysis | linear static analysis | solids | solids | structures | structures | nonlinear static analysis | nonlinear static analysis | heat transfer | heat transfer | fluid flows | fluid flows | finite element methods | finite element methods | ADINA | ADINA | student work | student work | beams | beams | plates | plates | shells | shells | displacement | displacement | conduction | conduction | convection | convection | radiation | radiation | Navier-Stokes | Navier-Stokes | incompressible fluids | incompressible fluids | acoustic fluids | acoustic fluids

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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6.883 Program Analysis (MIT) 6.883 Program Analysis (MIT)

Description

6.883 is a graduate seminar that investigates a variety of program analysis techniques that address software engineering tasks. Static analysis topics include abstract interpretation (dataflow), type systems, model checking, decision procedures (SAT, BDDs), theorem-proving. Dynamic analysis topics include testing, fault isolation (debugging), model inference, and visualization. While the course focuses on the design and implementation of programming tools, the material will be useful to anyone who wishes to improve his or her programming or understand the state of the art. Students are expected to read classic and current technical papers, actively participate in class discussion, perform small exercises that provide experience with a variety of tools, and complete a team research project. 6.883 is a graduate seminar that investigates a variety of program analysis techniques that address software engineering tasks. Static analysis topics include abstract interpretation (dataflow), type systems, model checking, decision procedures (SAT, BDDs), theorem-proving. Dynamic analysis topics include testing, fault isolation (debugging), model inference, and visualization. While the course focuses on the design and implementation of programming tools, the material will be useful to anyone who wishes to improve his or her programming or understand the state of the art. Students are expected to read classic and current technical papers, actively participate in class discussion, perform small exercises that provide experience with a variety of tools, and complete a team research project.

Subjects

program analysis | program analysis | static analysis | static analysis | abstract interpretation (dataflow) | abstract interpretation (dataflow) | type systems | type systems | model checking | model checking | decision procedures (SAT | decision procedures (SAT | BDDs) | BDDs) | theorem-proving | theorem-proving | dynamic analysis | dynamic analysis | testing | testing | fault isolation (debugging) | fault isolation (debugging) | model inference | and visualization | model inference | and visualization | decision procedures (SAT | BDDs) | decision procedures (SAT | BDDs)

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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6.827 Multithreaded Parallelism: Languages and Compilers (MIT) 6.827 Multithreaded Parallelism: Languages and Compilers (MIT)

Description

The topics covered in this course include: Languages and compilers to exploit multithreaded parallelism Implicit parallel programming using functional languages and their extensions Higher-order functions, non-strictness, and polymorphism Explicit parallel programming and nondeterminism The lambda calculus and its variants Term rewriting and operational semantics Compiling multithreaded code for symmetric multiprocessors and clusters Static analysis and compiler optimizations This course is worth 4 Engineering Design Points. The topics covered in this course include: Languages and compilers to exploit multithreaded parallelism Implicit parallel programming using functional languages and their extensions Higher-order functions, non-strictness, and polymorphism Explicit parallel programming and nondeterminism The lambda calculus and its variants Term rewriting and operational semantics Compiling multithreaded code for symmetric multiprocessors and clusters Static analysis and compiler optimizations This course is worth 4 Engineering Design Points.

Subjects

languages | languages | compilers | compilers | multithreaded parallelism | multithreaded parallelism | implicit parallel programming | implicit parallel programming | higher order functions | higher order functions | non-strictness | non-strictness | polymorphism | polymorphism | explicit parallel programming | explicit parallel programming | nondeterminism | nondeterminism | lambda calculus | lambda calculus | term rewriting | term rewriting | symmetric multiprocessors | symmetric multiprocessors | clusters | clusters | static analysis | static analysis | compiler optimizations | compiler optimizations

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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2.094 Finite Element Analysis of Solids and Fluids (MIT)

Description

This course presents finite element theory and methods for general linear and nonlinear analyses. Reliable and effective finite element procedures are discussed with their applications to the solution of general problems in solid, structural, and fluid mechanics, heat and mass transfer, and fluid-structure interactions. The governing continuum mechanics equations, conservation laws, virtual work, and variational principles are used to establish effective finite element discretizations and the stability, accuracy, and convergence are discussed. The homework and the student-selected term project using the general-purpose finite element analysis program ADINA are important parts of the course.

Subjects

linear static analysis | solids | structures | nonlinear static analysis | heat transfer | fluid flows | finite element methods | ADINA | student work | beams | plates | shells | displacement | conduction | convection | radiation | Navier-Stokes | incompressible fluids | acoustic fluids

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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2.094 Finite Element Analysis of Solids and Fluids II (MIT)

Description

This course presents finite element theory and methods for general linear and nonlinear analyses. Reliable and effective finite element procedures are discussed with their applications to the solution of general problems in solid, structural, and fluid mechanics, heat and mass transfer, and fluid-structure interactions. The governing continuum mechanics equations, conservation laws, virtual work, and variational principles are used to establish effective finite element discretizations and the stability, accuracy, and convergence are discussed. The homework and the student-selected term project using the general-purpose finite element analysis program ADINA are important parts of the course.

Subjects

linear static analysis | solids | structures | nonlinear static analysis | heat transfer | fluid flows | finite element methods | ADINA | student work | beams | plates | shells | displacement | conduction | convection | radiation | Navier-Stokes | incompressible fluids | acoustic fluids

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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6.883 Program Analysis (MIT)

Description

6.883 is a graduate seminar that investigates a variety of program analysis techniques that address software engineering tasks. Static analysis topics include abstract interpretation (dataflow), type systems, model checking, decision procedures (SAT, BDDs), theorem-proving. Dynamic analysis topics include testing, fault isolation (debugging), model inference, and visualization. While the course focuses on the design and implementation of programming tools, the material will be useful to anyone who wishes to improve his or her programming or understand the state of the art. Students are expected to read classic and current technical papers, actively participate in class discussion, perform small exercises that provide experience with a variety of tools, and complete a team research project.

Subjects

program analysis | static analysis | abstract interpretation (dataflow) | type systems | model checking | decision procedures (SAT | BDDs) | theorem-proving | dynamic analysis | testing | fault isolation (debugging) | model inference | and visualization | decision procedures (SAT | BDDs)

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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6.827 Multithreaded Parallelism: Languages and Compilers (MIT)

Description

The topics covered in this course include: Languages and compilers to exploit multithreaded parallelism Implicit parallel programming using functional languages and their extensions Higher-order functions, non-strictness, and polymorphism Explicit parallel programming and nondeterminism The lambda calculus and its variants Term rewriting and operational semantics Compiling multithreaded code for symmetric multiprocessors and clusters Static analysis and compiler optimizations This course is worth 4 Engineering Design Points.

Subjects

languages | compilers | multithreaded parallelism | implicit parallel programming | higher order functions | non-strictness | polymorphism | explicit parallel programming | nondeterminism | lambda calculus | term rewriting | symmetric multiprocessors | clusters | static analysis | compiler optimizations

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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