![]() ![]() She moved to SWFL in 2019 to enjoy the sunshine, beaches, and all that our beautiful state has to offer. ![]() Michelle is from Buffalo, New York where she grew up in cold and snowy winters rooting for the Buffalo Bills. Some of her students still reach out to her today!ĭr. She became passionate about teaching and educating students about how the body works. Michelle taught Anatomy, Physiology, and Myology at the New York Institute of Massage. After obtaining her Doctorates in Chiropractic, she performed her clinicals at the University in Buffalo Neurosurgery and at the Erie County Medical Center. Michelle Seward completed her undergraduate and graduate degrees from D'Youville College. ![]() Yet, the elegance of the mathematical foundational studies remains, and the rationale for the Analytic Element Method was inspired by the realization that computational advances could also lead to advances in the mathematical methods that were unforeseeable in the past.Īnalytic Element Method across Fields of Studyįoundation of the Analytic Element MethodĦ:Solving Systems of Equations to Match Boundary Conditionsħ:Consistent Notation for Boundary Value ProblemsĨ:Point Elements in a Uniform Vector Fieldġ0:Ellipse Elements with Continuity Conditionsġ1:Slit Element Formulation: Courant's Sewing Theorem with Circle Elementsġ3:Complex Vector Fields with Divergence and Curlġ4:Biharmonic Equation and the Kolosov FormulasĪnalytic Elements from Separation of Variablesġ6:Separation for One-Dimensional Problemsġ8:Separation in Circular-Cylindrical CoordinatesĪnalytic Elements from Singular Integral EquationsĢ1:Formulation of Singular Integral EquationsDr. With the advent of modern computers, such mathematically based methods were passed over by many, in the pursuit of discretized domain solutions using finite element and finite difference methods. However, the computational capacity of their times limited solutions to idealized problems, commonly involving a single isolated element within a uniform regional background. This work is grounded in a wide range of foundational studies, using exact solutions for important boundary value problems. ![]() Comprehensive solutions provide elements that collectively interact and shape the environment within which they exist. Computational methods enable boundary and interface conditions of closely interacting elements to be matched with nearly exact precision, commonly to within 8-12 significant digits. Presentation will place an element within its landscape, formulate its interactions with other elements using linear series of influence functions, and then solve for its coefficients to match its boundary and interface conditions. As the subtitle "Complex Interactions of Boundaries and Interfaces" suggests, problems are partitioned into sets of elements and methods are formulated to solve conditions along their boundaries and interfaces. "Analytic Element Method" (AEM) assembles a broad range of mathematical and computational approaches to solve important problems in engineering and science.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |