## BKA516 The Finite Element Method (General Course)

 Code BKA516 Name The Finite Element Method (General Course) Status Compulsory/Courses of Limited Choice Level and type Post-graduate Studies, Professional Field of study Civil Engineering Faculty Academic staff Jevgenijs Barkanovs, Andrejs Kovaļovs, Pāvels Akišins Credit points 4.0 (6.0 ECTS) Parts 1 Annotation Today the finite element method (FEM) is considered as one of the well established and convenient technique for the computer solution of complex problems in different fields of engineering: civil engineering, mechanical engineering, nuclear engineering, biomedical engineering, hydrodynamics, heat conduction, geo-mechanics, etc. From other side, FEM can be examined as a powerful tool for the approximate solution of differential equations describing different physical processes. . The success of FEM is based largely on the basic finite element procedures used: the formulation of the problem in variational form, the finite element dicretization of this formulation and the effective solution of the resulting finite element equations. These basic steps are the same whichever problem is considered and together with the use of the digital computer present a quite natural approach to engineering analysis. . The objective of the course for Master study is to present briefly each of the above aspects of the finite element analysis and thus to provide a basis for the understanding of the complete solution process. According to three basic areas in which knowledge is required, the course is divided into three parts. The first part of the course comprises the formulation of FEM and the numerical procedures used to evaluate the element matrices and to estimate the numerical errors. In the second part, methods for the efficient solution of the finite element equilibrium equations in nonlinear static, dynamic, buckling and thermal analyses will be discussed. In the third part of the course, some modelling aspects and modern applications of the finite element method will be briefly examined. . Goals and objectives of the course in terms of competences and skills The objective of the course for Master study is to present briefly each of the above aspects of the finite element analysis and thus to provide a basis for the understanding of the complete solution process. According to three basic areas in which knowledge is required, the course is divided into three parts. The first part of the course comprises the formulation of FEM and the numerical procedures used to evaluate the element matrices and to estimate the numerical errors. In the second part, methods for the efficient solution of the finite element equilibrium equations in nonlinear static, dynamic, buckling and thermal analyses will be discussed. In the third part of the course, some modell Learning outcomes and assessment Can understand and systematic to think as also to solve independently complex tasks of the finite element method. - Examination, test for the practical works. Can independently build the finite elements. Can independently construct, calculate, as also execute an analysis of results. - Examination, test for the practical works. Course prerequisites The Finite Element Method (Introduction)

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