Given two Jordan curves in a Riemannian manifold, a minimal surface of annulus type bounded by these curves is described as the harmonic extension of a critical point of some functional (the Dirichlet integral) in a certain space of boundary parametrizations. The H2,2regularity of the minimal surface of annulus type will be proved by applying the critical points theory and Morrey’s growth condi...

We present a new algorithm to compute stable discrete minimal surfaces bounded by a number of Þxed or free boundary curves in R, S and H. The algorithm makes no restriction on the genus and can handle singular triangulations. For a discrete harmonic map a conjugation process is presented leading in case of minimal surfaces additionally to instable solutions of the free boundary value problem fo...

BACKGROUND AND PURPOSE Gray-scale harmonic imaging is the first method to visualize blood perfusion and capillary blood flow with ultrasound after intravenous contrast agent application. The purpose of the present study was to evaluate the potential of transient response second harmonic imaging (TRsHI) to assess normal echo contrast characteristics in different brain areas by transcranial ultra...

The forced Duffing oscillator is investigated by intentional time-delayed displacement feedback by fast Fourier transform based incremental harmonic balance method along with continuation technique (FFT-IHBC). FFT-IHBC can efficiently develop frequency response curves with all stable and unstable solutions and solution branches. Appreciable reduction in peak value of response and gradual reduct...

intermolecular potential energy surface (ips) for protein — protein has been examined using rhf, dft-b3lypand mp2 levels of theory with 6-31g, 6-31g* basis sets. a number of basis sets were used in order to evaluatethe basis set effects, at all three levels of theory, basis sets has significant effects on the calculated potentialenergy curves (including position, depth and width of the potentia...